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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

2004
*
Communications in Mathematical Physics
*

We also define a "

doi:10.1007/s00220-004-1202-8
fatcat:7ynqg65rkbdnnfhkcixtcrpgna
*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. ...##
###
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

2007
*
Advances in Mathematics
*

In this paper we introduce the concept

doi:10.1016/j.aim.2007.04.013
fatcat:wrbdnpaw55fqlkqlx7rf7uxcqy
*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. ...##
###
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]

2019
*
arXiv
*
pre-print

∞,d)-category that in top dimension consists

arXiv:1508.05908v2
fatcat:vpgidhzqhbgltdndmwk6hm2lpy
*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. ...##
###
Exponential Kleisli monoids as Eilenberg-Moore algebras
[article]

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. ...

##
###
Exponential Kleisli Monoids as Eilenberg–Moore Algebras

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. ...

##
###
Towards Stone duality for topological theories

2011
*
Topology and its Applications
*

But Ψ is just the mate

doi:10.1016/j.topol.2011.01.010
fatcat:mlq7p4grtjggrckhwlkyi3wh5m
*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". ...##
###
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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