Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Zou, Foling"'
In the present paper, we construct a $\mathbb{Z}/p$-equivariant analog of the $\mathbb{Z}/2$-equivariant spectrum $BP\mathbb{R}$ previously constructed by Hu and Kriz. We prove that this spectrum has some of the properties conjectured by Hill, Hopkin
Externí odkaz:
http://arxiv.org/abs/2407.16599
We abstract and generalize homotopical monadicity statements, placing in a single conceptual framework a range of old and recent recognition and characterization principles in iterated loop space theory in classical, equivariant, and multiplicative f
Externí odkaz:
http://arxiv.org/abs/2402.03649
Building on work of Hill, Hoyer and Mazur we propose an equivariant version of a Loday construction for $G$-Tambara functors where $G$ is an arbitrary finite group. For any finite simplicial $G$-set and any $G$-Tambara functor, our Loday construction
Externí odkaz:
http://arxiv.org/abs/2401.04216
We provide new examples of \'etale extensions of Green functors by transferring classical examples of \'etale extensions to the equivariant setting. Our examples are Tambara functors, and we prove Green \'etaleness for them, which implies Tambara \'e
Externí odkaz:
http://arxiv.org/abs/2304.01656
Autor:
Bhattacharya, Prasit, Zou, Foling
In this paper, we view the equivariant orientation theory of equivariant vector bundles from the lenses of equivariant Picard spectra. This viewpoint allows us to identify, for a finite group $\mathrm{G}$, a precise condition under which an $\mathrm{
Externí odkaz:
http://arxiv.org/abs/2303.10259
We completely calculate the $RO(\mathbb{Z}/p)$-graded coefficients $H\underline{\mathbb{Z}/p}_\star H\underline{\mathbb{Z}/p}$ for the constant Mackey functor $\underline{\mathbb{Z}/p}$.
Comment: Some corrections made and explanations added
Comment: Some corrections made and explanations added
Externí odkaz:
http://arxiv.org/abs/2205.13427
Autor:
Zou, Foling
Fix a finite group G and an n-dimensional orthogonal G-representation V. We define the equivariant factorization homology of a V-framed smooth G-manifold with coefficients in an $E_V$-algebra using a two-sided bar construction, generalizing [And10, K
Externí odkaz:
http://arxiv.org/abs/2008.08234
Autor:
Zou, Foling
We compare two notions of $G$-fiber bundles and $G$-principal bundles in the literature, with an aim to clarify early results in equivariant bundle theory that are needed in current work of equivariant algebraic topology. We also give proofs of some
Externí odkaz:
http://arxiv.org/abs/2008.01268
In this paper, we study genuine equivariant factorization homology and its interaction with equivariant Thom spectra, which we construct using the language of parametrized higher category theory. We describe the genuine equivariant factorization homo
Externí odkaz:
http://arxiv.org/abs/2006.13348
We give a description of unital operads in a symmetric monoidal category as monoids in a monoidal category of unital $\Lambda$-sequences. This is a new variant of Kelly's old description of operads as monoids in the monoidal category of symmetric seq
Externí odkaz:
http://arxiv.org/abs/2003.10934