Results 41 to 50 of about 8,126 (80)

Maximal symplectic torus actions

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4132-4148, December 2025.
Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley   +1 more source

Graph cohomology classes in the Batalin-Vilkovisky formalism

, 2007
We give a conceptual formulation of Kontsevich's `dual construction' producing graph cohomology classes from a differential graded Frobenius algebra with an odd scalar product. Our construction -- whilst equivalent to the original one -- is combinatorics-
Alastair Hamilton, Andrey Lazarev, Axelrod, Axelrod, Bar-Natan, Batalin, Bott, Cattaneo, Chuang, Conant, DeWitt, Fuchs, Getzler, Getzler, Hamilton, Hamilton, Khudaverdian, Kontsevich, Kontsevich, Kosmann-Schwarzbach, McDuff, Schwarz, Schwarz, Schwarz, Witten   +24 more
core   +2 more sources

A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

Euclidean algorithms are Gaussian over imaginary quadratic fields

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley   +1 more source

Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra

, 2011
We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions $\leq 11$.
Movshev, M. V., Schwarz, A., Xu, Renjun
core   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

Generalized Chern-Simons action and maximally supersymmetric gauge theories

, 2013
We study observables and deformations of generalized Chern-Simons action and show how to apply these results to maximally supersymmetric gauge theories. We describe a construction of large class of deformations based on some results on the cohomology of ...
Movshev, M. V., Schwarz, A.
core  

Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]

Commun Math Phys, 2023
Beem C, Nair S.
europepmc   +1 more source

On Globalized Traces for the Poisson Sigma Model. [PDF]

Commun Math Phys, 2022
Moshayedi N.
europepmc   +1 more source

An introduction to the Batalin-Vilkovisky formalism

, 2003
The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbar\Delta S=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals.
Fiorenza, Domenico
core