Zobrazeno 1 - 10
of 557
pro vyhledávání: '"55N25"'
Autor:
Li, Hui
If the circle acts in a Hamiltonian way on a compact symplectic manifold of dimension $2n$, then there are at least $n+1$ fixed points. The case that there are exactly $n+1$ isolated fixed points has its importance due to various reasons. Besides dim
Externí odkaz:
http://arxiv.org/abs/2412.17873
We consider a finite group $G$ acting on a manifold $M$. For any equivariant Morse function, which is a generic condition, there does not always exist an equivariant metric $g$ on $M$ such that the pair $(f,g)$ is Morse-Smale. Here, the pair $(f,g)$
Externí odkaz:
http://arxiv.org/abs/2411.16924
This article investigates equivariant parametrized cellular cohomology, a cohomology theory introduced by Costenoble-Waner for spaces with an action by a compact Lie group $G$. The theory extends the $RO(G)$-graded cohomology of a $G$-space $B$ to a
Externí odkaz:
http://arxiv.org/abs/2410.13971
Autor:
Hogle, Eric
For equivariant Grassmannian manifolds of the form Gr$_k(V)$ where $V$ is some real representation of $C_2$, we are interested in computing the Bredon cohomology with coefficients in the constant Mackey functor $\underline{\mathbb{F}_2}$. In [Hog21]
Externí odkaz:
http://arxiv.org/abs/2410.01117
Autor:
Bao, Erkao, Lawson, Tyler
In this paper, we develop methods for calculating equivariant homology from equivariant Morse functions on a closed manifold with the action of a finite group. We show how to alter $G$-equivariant Morse functions to a stable one, where the descending
Externí odkaz:
http://arxiv.org/abs/2409.04694
Autor:
Klein, John R.
Given an acyclic map $X\to Y$ of closed manifolds dimension $d$, we study the relationship between the embeddings of $Y$ in $S^{n}$ with those of $X$ in $S^{n}$ when $n-d \ge 3$. The approach taken here is to first solve the Poincar\'e duality space
Externí odkaz:
http://arxiv.org/abs/2408.11403
Autor:
Ohara, Mariko
Let H be a coFrobenius Hopf algebra over a field k. Let A be a right H-comodule algebra over k. We recall that the category of right H-comodules admits a certain model structure whose homotopy category is equivalent to the stable category of right H-
Externí odkaz:
http://arxiv.org/abs/2406.16329
Autor:
Maksimau, Ruslan, Stroppel, Catharina
Naisse and Vaz defined an extension of KLR algebras to categorify Verma modules. We realise these algebras geometrically as convolution algebras in Borel-Moore homology. For this we introduce Grassmannian-Steinberg quiver flag varieties. They general
Externí odkaz:
http://arxiv.org/abs/2405.20262
Autor:
Wardenski, Nikolas
We give a characterization of locally standard, $\mathbb{Z}$-equivariantly formal manifolds in general position. In particular, we show that for dimension $2n$ at least $10$, to every such manifold with labeled GKM graph $\Gamma$ there is an equivari
Externí odkaz:
http://arxiv.org/abs/2405.03319
We define Hamiltonian Floer homology with differential graded (DG) local coefficients for symplectically aspherical manifolds. The differential of the underlying complex involves chain representatives of the fundamental classes of the moduli spaces o
Externí odkaz:
http://arxiv.org/abs/2404.07953