MULTIPLICATIVE PARAMETRIZED HOMOTOPY THEORY VIA SYMMETRIC SPECTRA IN RETRACTIVE SPACES-Reference-Cited by-同舟云学术

MULTIPLICATIVE PARAMETRIZED HOMOTOPY THEORY VIA SYMMETRIC SPECTRA IN RETRACTIVE SPACES

Published:2020 Issue: Volume:8 Page:
ISSN:2050-5094
Container-title:Forum of Mathematics, Sigma
language:en
Short-container-title:Forum of Mathematics, Sigma

Author:

HEBESTREIT FABIAN,SAGAVE STEFFEN,SCHLICHTKRULL CHRISTIAN

Abstract

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

$\infty$

-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.

Publisher

Cambridge University Press (CUP)

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis

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