Výsledky vyhledávání - "Ishak, Jocelyne"

Report

Levels of algebraicity in stable homotopy theories

Autor: Ishak, Jocelyne, Roitzheim, Constanze, Williamson, Jordan

Publikováno v: J. Lond. Math. Soc., II. Ser., 108(2):545-577, 2023

We study several different notions of algebraicity in use in stable homotopy theory and prove implications between them. The relationships between the different meanings of algebraic are unexpectedly subtle, and we illustrate this with several intere

Externí odkaz: http://arxiv.org/abs/2110.03138

Zobrazit plný text záznamu

Report

Genuine-commutative ring structure on rational equivariant $K$-theory for finite abelian groups

Autor: Bohmann, Anna Marie, Hazel, Christy, Ishak, Jocelyne, Kędziorek, Magdalena, May, Clover

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

Zobrazit plný text záznamu

Report

Naive-commutative structure on rational equivariant $K$-theory for abelian groups

Autor: Bohmann, Anna Marie, Hazel, Christy, Ishak, Jocelyne, Kędziorek, Magdalena, May, Clover

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

Zobrazit plný text záznamu

Report

Rigidity of the $K(1)$-local stable homotopy category

Autor: Ishak, Jocelyne

We investigate a new case of rigidity in stable homotopy theory which is the rigidity of the $K(1)$-local stable homotopy category $\mathrm{Ho}(L_{K(1)}\mathrm{Sp})$ at $p=2$. In other words, we show that recovering higher homotopy information by jus

Externí odkaz: http://arxiv.org/abs/1807.03175

Zobrazit plný text záznamu