Categorical models for equivariant classifying spaces

Bertrand J. Guillou; J. Peter May; Mona Merling

doi:10.2140/agt.2017.17.2565

Categorical models for equivariant classifying spaces

Bertrand J. Guillou
, J. Peter May
, Mona Merling

Mathematics

Producción científica: Article › revisión exhaustiva

17 Citas (Scopus)

Resumen

Starting categorically, we give simple and precise models for classifying spaces of equivariant principal bundles. We need these models for work in progress in equivariant infinite loop space theory and equivariant algebraic K–theory, but the models are of independent interest in equivariant bundle theory and especially equivariant covering space theory.

Idioma original	English
Páginas (desde-hasta)	2565-2602
Número de páginas	38
Publicación	Algebraic and Geometric Topology
Volumen	17
N.º	5
DOI	https://doi.org/10.2140/agt.2017.17.2565
Estado	Published - sept 19 2017

Nota bibliográfica

Publisher Copyright:
© 2017, Mathematical Sciences Publishers. All rights reserved.

Financiación

Acknowledgements Merling thanks Matthew Morrow and Liang Xiao for answers to her questions that pointed out the striking relevance to our work of H1.GI …/ and Serre’s general version of Hilbert’s Theorem 90. We are grateful to an anonymous referee for a careful reading and suggestions for improving the notations and exposition. Guillou was partially supported by Simons Collaboration Grant No. 282316 and by NSF grant DMS-1710379 and Merling was partially supported by NSF grant DMS-1709461.

Financiadores	Número del financiador
Simons Collaboration	282316
National Science Foundation Arctic Social Science Program	1709461, DMS-1709461, DMS-1710379

ASJC Scopus subject areas

Geometry and Topology

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Categorical models for equivariant classifying spaces

Resumen

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Financiación

ASJC Scopus subject areas

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