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Page 3677 of Mathematical Reviews Vol. , Issue 2004e [page]

2004 Mathematical Reviews  
features of lax algebras.  ...  of lax algebras have indeed a topological nature.  ... 

Page 4457 of Mathematical Reviews Vol. , Issue 98G [page]

1998 Mathematical Reviews  
A number of features of the Boussinesq equations are repro- duced by the author by using this nonlinear realization lan- guage.  ...  The gauge transformation of the first Lax operator provides the Miura link between the ‘small’ N = 4 supersymmetric conformal algebra and the supersymmetric W;, algebra.” 2 Boussinesq 98¢:58085 S8FO7 70H0S  ... 

Page 7894 of Mathematical Reviews Vol. , Issue 2004j [page]

2004 Mathematical Reviews  
An unusual feature of this model (first observed by Billey, Avan and Babelon for the A,, case) is the fundamental Poisson bracket relations between the elements of the associated Lax operator.  ...  A complete topological description of Z(y) and © is obtained in all rank 2 cases and for G = A;.  ... 

Page 5863 of Mathematical Reviews Vol. , Issue 94j [page]

1994 Mathematical Reviews  
The author presents results of calculation of Fomenko’s topologi- cal invariants for integrable Hamiltonian systems.  ...  , and graded Lie algebras.  ... 

Closed and Open Conformal Field Theories and Their Anomalies

Po Hu, Igor Kriz
2004 Communications in Mathematical Physics  
We also define a "topological group completion" of the symmetric bimonoidal category of finite-dimensional vector spaces, and propose it as a candidate for labelling conformal field theories whose modular  ...  In the case of open conformal field theory, the "set of D-branes" is a 3-vector space.  ...  Rognes for their helpful mathematical comments, and for detecting mistakes in the original version of this paper.  ... 
doi:10.1007/s00220-004-1202-8 fatcat:7ynqg65rkbdnnfhkcixtcrpgna

Page 6988 of Mathematical Reviews Vol. , Issue 92m [page]

1992 Mathematical Reviews  
In the context of nonperturbative features of string theory, the authors present a rigourous connection between the two main ap- proaches to the problem: (i) matrix models and (ii) the topological Landau-Ginzburg  ...  = SL(2|2)'/(1) of rank 2 are constructed. The associated super Gel'fand-Dikii algebra is shown to give the classical N = 2 super Virasoro algebra.  ... 

Page 5232 of Mathematical Reviews Vol. , Issue 92i [page]

1992 Mathematical Reviews  
the consistency of the contact algebra of physical op- erators.  ...  Summary: “A complete set of recursion relations is obtained for correlation functions in two-dimensional topological gravity cou- pled with the ADE series of topological minimal models, by de- manding  ... 

Page 7698 of Mathematical Reviews Vol. , Issue 97M [page]

1997 Mathematical Reviews  
97m:58103 plicitly in terms of the root lattice of the algebra.  ...  Using methods of R-matrix algebras in classical or quantum in- verse scattering, the author obtains new Lax representations for several examples related to Kovalevskaya tops.  ... 

Topological theories and closed objects

Dirk Hofmann
2007 Advances in Mathematics  
In this paper we introduce the concept of a topological theory as a syntactical tool to deal with lax algebras, and show the usefulness of our approach by applying it to the study of function spaces.  ...  Recent work of several authors shows that many categories of interest to topologists can be represented as categories of lax algebras.  ...  Acknowledgments I am indebted to Maria Manuel Clementino and Walter Tholen for many fruitful and enlightening discussions on the subject of this paper.  ... 
doi:10.1016/j.aim.2007.04.013 fatcat:wrbdnpaw55fqlkqlx7rf7uxcqy

Page 5551 of Mathematical Reviews Vol. , Issue 91J [page]

1991 Mathematical Reviews  
of some geometric features, the stairs.”  ...  From this result we obtain lower and upper bounds on the topological entropy and on the number of periodic orbits of each period.  ... 

Heisenberg-picture quantum field theory [article]

Theo Johnson-Freyd
2019 arXiv   pre-print
∞,d)-category that in top dimension consists of pointed vector spaces instead of numbers; the second-from-top level can be taken to consist of associative algebras or of pointed categories.  ...  The paper ends by outlining two sources of such Heisenberg-picture field theories: factorization algebras and skein theory.  ...  We will need two variations of the notion of "factorization algebra." Let X be a topological space.  ... 
arXiv:1508.05908v2 fatcat:vpgidhzqhbgltdndmwk6hm2lpy

Exponential Kleisli monoids as Eilenberg-Moore algebras [article]

Dirk Hofmann, Frédéric Mynard, Gavin J. Seal
2013 arXiv   pre-print
Lax monoidal powerset-enriched monads yield a monoidal structure on the category of monoids in the Kleisli category of a monad.  ...  This result generalizes the classical identification of exponentiable topological spaces as those whose lattice of open subsets forms a continuous lattice.  ...  These features point to the ubiquitous role of the filter monad.  ... 
arXiv:1201.6650v2 fatcat:is7bltfnibfpvad3gr6a6s7oey

Exponential Kleisli Monoids as Eilenberg–Moore Algebras

Dirk Hofmann, Frédéric Mynard, Gavin J. Seal
2013 Applied Categorical Structures  
Lax monoidal powerset-enriched monads yield a monoidal structure on the category of monoids in the Kleisli category of a monad.  ...  This result generalizes the classical identification of exponentiable topological spaces as those whose lattice of open subsets forms a continuous lattice.  ...  These features point to the ubiquitous role of the filter monad.  ... 
doi:10.1007/s10485-013-9328-5 fatcat:vwtv7imh5bd53lmxmt3q36ykhi

Towards Stone duality for topological theories

Dirk Hofmann, Isar Stubbe
2011 Topology and its Applications  
But Ψ is just the mate of the composite  ...  The proof of the theorem above is the combination of the results below. Lemma 2.14. Let X = (X, a) be a T-category and ϕ : X −→ V be a T-functor.  ...  The lax algebras for a lax extension of T to V-Mat are then to be thought of as "topological categories".  ... 
doi:10.1016/j.topol.2011.01.010 fatcat:mlq7p4grtjggrckhwlkyi3wh5m

Page 1285 of Mathematical Reviews Vol. , Issue 2000b [page]

2000 Mathematical Reviews  
Section 3 features a derived smash prod- 55 ALGEBRAIC TOPOLOGY 2000b:55009 uct and spectral sequences which compute it.  ...  Summary (translated from the Russian): “This paper is devoted to a definition and a study of algebraic operations closely related to the group structure on the homotopy groups of topological spaces.  ... 
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