GENERALIZED THOM SPECTRA AND THEIR TOPOLOGICAL HOCHSCHILD HOMOLOGY

被引：3

作者：

Basu, Samik ^{[1
]}

Sagave, Steffen ^{[2
]}

Schlichtkrull, Christian ^{[3
]}

机构：

[1] Indian Assoc Cultivat Sci, Dept Math & Computat Sci, Kolkata 700032, India

[2] Radboud Univ Nijmegen, IMAPP, POB 9010, NL-6500 GL Nijmegen, Netherlands

[3] Univ Bergen, Dept Math, POB 7803, N-5020 Bergen, Norway

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2020年 / 19卷 / 01期

关键词：

Thom spectrum; structured ring spectrum; topological Hochschild homology; CLASSIFYING-SPACES; DIAGRAM SPACES; COHOMOLOGY; UNITS;

D O I：

10.1017/S1474748017000421

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a theory of R-module Thom spectra for a commutative symmetric ring spectrum R and we analyze their multiplicative properties. As an interesting source of examples, we show that R-algebra Thom spectra associated to the special unitary groups can be described in terms of quotient constructions on R. We apply the general theory to obtain a description of the R-based topological Hochschild homology associated to an R-algebra Thom spectrum.

引用

页码：21 / 64

页数：44

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