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比利时vs摩洛哥足彩 ,
university of california san diego

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math 292 - topology seminar

foling zou

university of michigan

equivariant nonabelian poincar\'e duality and equivariant factorization homology of thom spectra

abstract:

this is joint work with asaf horev and inbar klang. factorization homology theories are invariants of $n$-manifolds with coefficients in suitable $e_n$-algebras. let $g$ be a finite group and $v$ be a finite dimensional $g$-representation. the equivariant factorization homology for $v$-framed $g$-manifolds have $e_v$-algebra as coefficients. we show that when coefficient algebra $a$ is the thom spectrum of an $e_{v+w}$-map for a large enough representation $w$, the factorization homology of $a$ can be computed by a certain thom spectrum. with nonabelian poincar\'e duality theorem, we are able to simplify the result in some cases. in particular, we compute $\mathrm{thr}(\mathrm{h}\mathbb{f}_{2})$, $\mathrm{thr}(\mathrm{h}\mathbb{z}_{(2)})$, $\mathrm{thh}_{c_2}(\mathrm{h}\mathbb{f}_2)$.

host: zhouli xu

january 19, 2021

10:30 am

zoom information: meeting id: 933 6734 4286 password: topology

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