Results 81 to 90 of about 4,558 (244)

The six operations in topology

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
wiley   +1 more source

Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras

Mathematics
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
doaj   +1 more source

Galois cohomology of algebraic groups acting on the tensor product of two composition algebras [PDF]

, 2021
Simon W. Rigby
openalex   +1 more source

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

Transfers for ramified covering maps in homology and cohomology

International Journal of Mathematics and Mathematical Sciences, 2006
Making use of a modified version, due to McCord, of the Dold-Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients.
Marcelo A. Aguilar, Carlos Prieto
doaj   +1 more source

Representations and cohomologies of modified λ-differential Hom-Lie algebras

AIMS Mathematics
In this paper, we introduce the concept and representations of modified $ \lambda $-differential Hom-Lie algebras. We then develop the cohomology of modified $ \lambda $-differential Hom-Lie algebras with coefficients in a suitable representation.
Yunpeng Xiao , Wen Teng
doaj   +1 more source

Computational Tools for Cohomology of Toric Varieties

Advances in High Energy Physics, 2011
Novel nonstandard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination
Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn   +2 more
doaj   +1 more source

Cohomology of Deligne–Lusztig varieties for short-length regular elements in exceptional groups [PDF]

, 2013
Olivier Dudas
openalex   +1 more source

One-dimensional super Calabi-Yau manifolds and their mirrors

Journal of High Energy Physics, 2017
We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja, S. L. Cacciatori, F. Dalla Piazza, A. Marrani, R. Re   +4 more
doaj   +1 more source

Finite generation of cohomology of finite groups [PDF]

, 2016
Raphaël Rouquier
openalex   +1 more source