Zobrazeno 1 - 10
of 3 398
pro vyhledávání: '"equivariant K-theory"'
We introduce the magnetic equivariant K-theory groups as the K-theory groups associated to magnetic groups and their respective magnetic equivariant complex bundles. We restrict the magnetic group to its subgroup of elements that act complex linearly
Externí odkaz:
http://arxiv.org/abs/2412.04603
Autor:
Bianchi, Valerio, Pennig, Ulrich
We consider infinite tensor product actions of $G = \mathbb{Z}/p\mathbb{Z}$ on the UHF-algebra $D = \text{End}(V)^{\otimes \infty}$ for a finite-dimensional unitary $G$-representation $V$ and determine the equivariant homotopy type of the group $\tex
Externí odkaz:
http://arxiv.org/abs/2410.06947
Autor:
Löwit, Jakub
We study torus-equivariant algebraic $K$-theory of affine Schubert varieties in the perfect affine Grassmannians over $\mathbb{F}_p$. We further compare it to the torus-equivariant Hochschild homology of perfect complexes, which has a geometric descr
Externí odkaz:
http://arxiv.org/abs/2409.18925
Autor:
Uma, V.
In this article we describe the equivariant and ordinary topological $K$-ring of a toric bundle with fiber a $T$-{\it cellular} toric variety. This generalizes the results in \cite{su} on $K$-theory of smooth projective toric bundles. We apply our re
Externí odkaz:
http://arxiv.org/abs/2409.05719
Autor:
Baszczak, Mieszko
We describe the action of the Weyl group of a semi simple linear group $G$ on cohomological and K-theoretic invariants of the generalized flag variety $G/B$. We study the automorphism $s_i$, induced by the reflection in the simple root, on the equiva
Externí odkaz:
http://arxiv.org/abs/2405.17043
Autor:
Chan, David, Vogeli, Chase
We compute the $RO(G)$-graded equivariant algebraic $K$-groups of a finite field with an action by its Galois group $G$. Specifically, we show these $K$-groups split as the sum of an explicitly computable term and the well-studied $RO(G)$-graded coef
Externí odkaz:
http://arxiv.org/abs/2406.19481
Autor:
Uma, V.
In this article we describe the $T_{comp}$-equivariant topological $K$-ring of a $T$-{\it cellular} complete toric variety. We further show that $K_{T_{comp}}^0(X)$ is isomorphic as an $R(T_{comp})$-algebra to the ring of piecewise Laurent polynomial
Externí odkaz:
http://arxiv.org/abs/2404.14201
In the mid 1980s, while working on establishing completion theorems for equivariant Algebraic K-Theory similar to the well-known completion theorems for equivariant topological K-theory, the late Robert Thomason found the strong finiteness conditions
Externí odkaz:
http://arxiv.org/abs/2404.13196
Autor:
Paul, Bidhan
The aim of this paper is to describe the torus equivariant $K$-ring of even-dimensional complex quadrics by studying the graph equivariant $K$-theory of their corresponding GKM graphs. This involves providing a presentation for its graph equivariant
Externí odkaz:
http://arxiv.org/abs/2401.12833