Results 21 to 30 of about 31,057 (122)

Klein Topological Field Theories from Group Representations [PDF]

, 2011
We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers.
Loktev, Sergey A., Natanzon, Sergey M.
core   +6 more sources

Edge contraction on dual ribbon graphs and 2D TQFT

, 2017
We present a new set of axioms for 2D TQFT formulated on the category of cell graphs with edge-contraction operations as morphisms. We construct a functor from this category to the endofunctor category consisting of Frobenius algebras.
Dumitrescu, Olivia, Mulase, Motohico
core   +1 more source

Equivariant algebraic vs. topological K-homology Atiyah-Segal-style

Duke Mathematical Journal, 1988
Let G be a group scheme over a suitable base scheme S, acting on a noetherian locally separated algebraic space X. \(G\to S\) is supposed to be flat, separated and of finite type. Then one can associate to the exact category of coherent sheaves of \({\mathcal O}_ X\)-modules with compatible G-action and to the exact subcategory of algebraic G-vector ...
openaire   +3 more sources

Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama, Yueshi Hou, Shangjie Zhang   +2 more
wiley   +1 more source

About the limits of inverse systems in the category S(B) of Segal topological algebras

Proceedings of the Estonian Academy of Sciences, 2020
In this paper, we give a necessary condition for the existence of limits of all inverse systems and a sufficient condition for the existence of limits for all countable inverse systems in the category S(B) of Segal topological algebras.
openaire   +2 more sources

On the paper “Bundle gerbes” by Michael Murray

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
wiley   +1 more source

Initial objects, terminal objects, zero objects, and equalizers in the category Seg of Segal topological algebras

Proceedings of the Estonian Academy of Sciences, 2020
In this paper the initial, terminal, and zero objects in the category Seg of Segal topological algebras are described and some sufficient conditions under which the equalizers in Seg exist are found.
openaire   +2 more sources

Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Some open problems in mathematical two-dimensional conformal field theory

, 2017
We discuss some open problems in a program of constructing and studying two-dimensional conformal field theories using the representation theory of vertex operator algebras.Comment: 16 pages. Typos are corrected and some sentences are adjusted.
Huang, Yi-Zhi
core   +1 more source

Parametrized stability and the universal property of global spectra

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen, Tobias Lenz, Sil Linskens   +2 more
wiley   +1 more source