Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces

Autor:	Hebestreit, Fabian, Sagave, Steffen, Schlichtkrull, Christian
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Topology Mathematics - K-Theory and Homology 55P43
Zdroj:	Forum of Mathematics, Sigma 8 (2020), e16
Druh dokumentu:	Working Paper
DOI:	10.1017/fms.2020.11
Popis:	In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new point-set level framework for parametrized homotopy theory. We provide a convolution smash product that descends to the corresponding infinity-categorical product and allows for convenient constructions of commutative parametrized ring spectra. As an immediate application, we compare various models for generalized Thom spectra. In a companion paper, this approach is used to compare homotopical and operator algebraic models for twisted K-theory. Comment: v2: 59 pages, exposition improved
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1904.01824 Zobrazit plný text záznamu View this record from Arxiv