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Distributions of regular branched prime-fold coverings of surfaces

Kwak Jin Ho, Se-Goo Kim, Jaeun Lee
<span title="">1996</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
From some new Hurwitz like classification and existence theorems for branched coverings of surfaces, we enumerate the equivalence classes of the regular branched prime-fold coverings of a surface and the  ...  weak equivalence classes of the regular branched prime-fold coverings of the sphere, in terms of certain relations with a covering of a graph.  ...  Hence, if p is an odd prime, then every branched 77p-Covering surface of a nonorientable surface is nonorientable.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0012-365x(94)00346-k">doi:10.1016/0012-365x(94)00346-k</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/olfgyvbd5rchnfnpnvf5plp4sa">fatcat:olfgyvbd5rchnfnpnvf5plp4sa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171002173318/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/bb7/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS8wMDEyMzY1eDk0MDAzNDZr.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/14/7a/147ad34446cc518e37ddff1e73e10f97313a36b3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0012-365x(94)00346-k"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Page 6925 of Mathematical Reviews Vol. , Issue 97K [page]

<span title="">1997</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
This paper studies regular, prime-fold branched coverings of surfaces, enumerating weak equivalence classes and equivalence classes of such branched coverings over a fixed surface.  ...  Allan Edmonds (1-1N; Bloomington, IN) 97k:57004 57M12 0sC10 Kwak, Jin Ho (KR-POST; Pohang); Kim, Se-Goo (KR-POST; Pohang); Lee, Jaeun (KR-YEU; Gyongsan) Distributions of regular branched prime-fold coverings  ... 
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Author index to volume 156 (1996)

<span title="">1996</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
Wallis, A family of resolvable regular graph designs (Note) , J.H., S.-G. Kim and J. Lee, Distributions of regular branched prime-fold coverings of surfaces (1-3) 14l 170 Lashkia, V., M. Miyakawa, A.  ...  Balakrishnan (1-3) 19 28 Sellers, J.A., Recurrences for 2-colored and 3-colored F-partitions (Note) (1 3) 303-310 Stern, M., On the covering graph of balanced lattices (Note) (1 3) 311-316  ... 
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Page 828 of Mathematical Reviews Vol. , Issue 2003B [page]

<span title="">2003</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Distributions of branched surface coverings. The new results are contained mainly in sections 2 and 7.  ...  Regular coverings having dihedral voltage groups. 6. Regular coverings; a general case. 7. New classification of branched coverings and the number of subgroups of a surface group. 8.  ... 
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A DIOPHANTINE FROBENIUS PROBLEM RELATED TO RIEMANN SURFACES

CORMAC O'SULLIVAN, ANTHONY WEAVER
<span title="2011-03-10">2011</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bmxdrsjtrrgljhk5nwkdtjefke" style="color: black;">Glasgow Mathematical Journal</a> </i> &nbsp;
Our work is motivated by the study of compact Riemann surfaces which can be realised as semi-regular pq-fold coverings of surfaces of lower genus.  ...  In this context, the Frobenius number is (up to an additive translation) the largest genus in which no surface is such a covering.  ...  By the general theory of branched coverings, there is surface X of genus γ which is an n-fold semi-regular covering if and only if there is a 2 s -tuple (x I ) I∈B of non-negative integers satisfying (  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0017089511000097">doi:10.1017/s0017089511000097</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cd3lao5swfbapijiwj6oxipybe">fatcat:cd3lao5swfbapijiwj6oxipybe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180726023947/https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CB9395FAA697933A79F2D9DE0271407C/S0017089511000097a.pdf/div-class-title-a-diophantine-frobenius-problem-related-to-riemann-surfaces-div.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5c/be/5cbec8bb70f5d036947d71bb3f83ffa04940611d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0017089511000097"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> cambridge.org </button> </a>

A Diophantine Frobenius problem related to Riemann surfaces [article]

Cormac O'Sullivan, Anthony Weaver
<span title="2009-12-13">2009</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Our work is motivated by the study of compact Riemann surfaces which can be realized as a semi-regular pq-fold coverings of surfaces of lower genus.  ...  In this context, the Frobenius number is (up to an additive translation) the largest genus in which no surface is such a covering.  ...  By the general theory of branched coverings, there is surface X of genus γ which is an n-fold semi-regular covering if and only if there is a 2 s -tuple (x I ) I∈B of nonnegative integers satisfying (  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0912.2513v1">arXiv:0912.2513v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u3uosm4oyvgwbislzp54qapare">fatcat:u3uosm4oyvgwbislzp54qapare</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-0912.2513/0912.2513.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0912.2513v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Page 3064 of Mathematical Reviews Vol. , Issue 98E [page]

<span title="">1998</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Then for all but a finite number of integers n, the manifold M(1/n,1/n) is a hyperbolic 2-fold branched covering of S?  ...  An infinite family of knots in S* having no nontrivial symme- tries and giving a 2-fold branched cover of S* by a nontrivial surgery is constructed.  ... 
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Self-intersections of closed parametrized minimal surfaces in generic Riemannian manifolds

John Douglas Moore
<span title="2021-04-27">2021</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5f2ddsvh4nfzvfnxri6qhsfxhq" style="color: black;">Annals of Global Analysis and Geometry</a> </i> &nbsp;
AbstractThis article shows that for generic choice of Riemannian metric on a compact oriented manifold M of dimension four, the tangent planes at any self-intersection $$p \in M$$ p ∈ M of any prime closed  ...  parametrized minimal surface in M are not simultaneously complex for any orthogonal complex structure on M at p.  ...  To view a copy of this licence, visit http:// creat iveco mmons. org/ licen ses/ by/4. 0/.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10455-021-09771-8">doi:10.1007/s10455-021-09771-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4yfjcooqurbwjhqyt7jssvlkxa">fatcat:4yfjcooqurbwjhqyt7jssvlkxa</a> </span>
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Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds

Paola Cristofori, Evgeny Fominykh, Michele Mulazzani, Vladimir Tarkaev
<span title="2017-12-01">2017</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qgwiiycdsff5niydy5k3styeby" style="color: black;">RACSAM</a> </i> &nbsp;
As a consequence, we compute the exact value of this invariant for an infinite family of such manifolds.  ...  (up to graph complexity 12) and for infinite families of lens spaces.  ...  The n-fold covering f naturally induces a topological n-fold (possibly branched) covering |f | : M G → M Γ . Moreover, |f | is unbranched if and only if f is admissible.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s13398-017-0478-4">doi:10.1007/s13398-017-0478-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fdlnzmqigbcz5bavwj7hdatl6y">fatcat:fdlnzmqigbcz5bavwj7hdatl6y</a> </span>
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Distributions of regular branched surface coverings

I.P. Goulden, Jin Ho Kwak, Jaeun Lee
<span title="">2004</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/54t3hgai4fhhthc74mj7z7tapu" style="color: black;">European journal of combinatorics (Print)</a> </i> &nbsp;
In this paper, as a complete answer to the question for regular coverings, we determine the distribution of the regular branched coverings of any nonorientable surface S when the covering transformation  ...  In a study of surface branched coverings, one can ask naturally: In how many different ways can a given surface be a branched covering of another given surface?  ...  The last author gratefully thanks the University of Waterloo, which hosted him on his sabbatical leave during the time the research was completed.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ejc.2002.11.001">doi:10.1016/j.ejc.2002.11.001</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/whyhkvlahnfdjn6sypk2zfrkty">fatcat:whyhkvlahnfdjn6sypk2zfrkty</a> </span>
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Page 2713 of Mathematical Reviews Vol. , Issue 81G [page]

<span title="">1981</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
One calls a discrete subgroup [CG a surface group if U/T is a compact surface without branch points.  ...  A. 81g:58002a Geometric versions of Whitney regularity for smooth stratifications. Ann. Sci. Ecole Norm. Sup. (4) 12 (1979), no. 4, 453-463.  ... 
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Cayley maps

R. Bruce Richter, Jozef Širáň, Robert Jajcay, Thomas W. Tucker, Mark E. Watkins
<span title="">2005</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/g6u5fful5vcr3a7gppc6y47el4" style="color: black;">Journal of combinatorial theory. Series B (Print)</a> </i> &nbsp;
We present a theory of Cayley maps, i.e., embeddings of Cayley graphs into oriented surfaces having the same cyclic rotation of generators around each vertex.  ...  We also present an algebraic theory of Cayley maps and we apply the theory to determine exactly which regular or edge-transitive tilings of the sphere or plane are Cayley maps or Cayley graphs.  ...  To describe the situation, we recall the Riemann-Hurwitz equation for an n-sheeted regular branched covering from a surfaceS a surface S.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jctb.2005.04.007">doi:10.1016/j.jctb.2005.04.007</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/y2pqt5xyljhnhnd6hsaf4diyt4">fatcat:y2pqt5xyljhnhnd6hsaf4diyt4</a> </span>
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Tangle solutions for composite knots: applications to Hin recombination [article]

Dorothy Buck, Mauro Maximo Mauricio
<span title="2010-07-06">2010</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We show that, for any prime tangle, there are no rational tangle attachments of distance greater than one that first yield a 4-plat and then a connected sum of 4-plats.  ...  In particular, after solving the tangle equations for processive recombination, we use our work to give a complete set of solutions to the tangle equations modelling distributive recombination.  ...  Tangles are best studied together with their two-fold covers, branched over t.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1007.0948v1">arXiv:1007.0948v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xxauu6sdnndrlfx4bon7syzrna">fatcat:xxauu6sdnndrlfx4bon7syzrna</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-1007.0948/1007.0948.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d0/5e/d05ec230987075630a6303b9cc75fb16f842d9b7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1007.0948v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Filtering smooth concordance classes of topologically slice knots

Tim D Cochran, Shelly Harvey, Peter Horn
<span title="2013-07-19">2013</span> <i title="Mathematical Sciences Publishers"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nk6cbwjm3re3xcnnbdd2g7hpyy" style="color: black;">Geometry and Topology</a> </i> &nbsp;
term of the filtration.  ...  To ameliorate this we investigate a new filtration, B_n, that is simultaneously a refinement of the n-solvable filtration and a generalization of notions of positivity studied by Gompf and Cochran.  ...  Suppose q is a prime power, † q denotes the q -fold cyclic cover branched over K , d is an odd prime power, W H 1 . † q / ! Z d !  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2140/gt.2013.17.2103">doi:10.2140/gt.2013.17.2103</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wglp27kwbjaftil4oin7mi2pm4">fatcat:wglp27kwbjaftil4oin7mi2pm4</a> </span>
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Palæogeographical Reconstruction

L. R. MOORE
<span title="">1956</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/drfdii35rzaibj3aml5uhvr5xm" style="color: black;">Nature</a> </i> &nbsp;
When the rocks involved contain a national asset such as coal, the information is of prime importance. With due humility, Prof. L. J.  ...  this distribution by separation into basins or blocks.  ...  Something more regular is needed, however ; integrating papers confined to, at most, one branch of the subject would be welcomed by newcomers to that branch and by workers in the other branches, and critical  ... 
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