Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Hazel, Christy"'
Autor:
Dugger, Daniel, Hazel, Christy
Let $G$ be a finite group and $V$ be a $G$-representation. We investigate the $RO(G)$-graded Bredon cohomology with constant integral coefficients of the space of ordered configurations in $V$. In the case that $V$ contains a trivial subrepresentatio
Externí odkaz:
http://arxiv.org/abs/2401.04826
Autor:
Bao, Linus, Hazel, Christy, Karkos, Tia, Kessler, Alice, Nicolas, Austin, Ormsby, Kyle, Park, Jeremie, Schleff, Cait, Tilton, Scotty
We prove that Hill's characteristic function $\chi$ for transfer systems on a lattice $P$ surjects onto interior operators for $P$. Moreover, the fibers of $\chi$ have unique maxima which are exactly the saturated transfer systems. In order to apply
Externí odkaz:
http://arxiv.org/abs/2310.13835
For the cyclic group $C_2$ we give a complete description of the derived category of perfect complexes of modules over the constant Mackey ring $\underline{\mathbb{Z}/\ell}$, for $\ell$ a prime. This is fairly simple for $\ell$ odd, but for $\ell=2$
Externí odkaz:
http://arxiv.org/abs/2203.05287
Autor:
Hazel, Christy
Let $C_2$ denote the cyclic group of order 2. We compute the $RO(C_2)$-graded cohomology of all $C_2$-surfaces with constant integral coefficients. We show when the action is nonfree, the answer depends only on the genus, the orientability of the und
Externí odkaz:
http://arxiv.org/abs/2112.04656
In this paper, we build on the work from our previous paper (arXiv:2002.01556) to show that periodic rational $G$-equivariant topological $K$-theory has a unique genuine-commutative ring structure for $G$ a finite abelian group. This means that every
Externí odkaz:
http://arxiv.org/abs/2104.01079
Publikováno v:
In Journal of Pure and Applied Algebra March 2024 228(3)
Publikováno v:
Topology Appl. 316 (2022), Paper No. 108100, 18 pp
In this paper, we calculate the image of the connective and periodic rational equivariant complex $K$-theory spectrum in the algebraic model for naive-commutative ring $G$-spectra given by Barnes, Greenlees and K\k{e}dziorek for finite abelian $G$. O
Externí odkaz:
http://arxiv.org/abs/2002.01556
Autor:
Hazel, Christy
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 2799-2856
Let $C_2$ denote the cyclic group of order two. Given a manifold with a $C_2$-action, we can consider its equivariant Bredon $RO(C_2)$-graded cohomology. In this paper, we develop a theory of fundamental classes for equivariant submanifolds in $RO(C_
Externí odkaz:
http://arxiv.org/abs/1907.07284
Autor:
Hazel, Christy
A surface with an involution can be viewed as a $C_2$-space where $C_2$ is the cyclic group of order two. Using the classification of $C_2$-surfaces given by Dugger, we compute the $RO(C_2)$-graded Bredon cohomology of all $C_2$-surfaces in constant
Externí odkaz:
http://arxiv.org/abs/1907.07280
Publikováno v:
In Topology and its Applications 1 July 2022 316