Toric homotopy theory
Toric homotopy theory
These notes describe some of the homotopy theory surrounding Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. These spaces are defined by gluing together prod- ucts formed from pairs of spaces (X, A), where the gluing is determined by the faces of a simplicial complex K. The emphasis is on determining homotopy types - of the spaces themselves, their suspensions and their based loop spaces - and showing how these homotopy types depend on a beautiful interplay between the topology of the pairs (X, A) and the combinatorics of the simplicial complex K.
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Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
December 2017
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
(2017)
Toric homotopy theory.
In,
Darby, Alastair, Grbic, Jelena, Lu, Zhi and Wu, Jie
(eds.)
Combinatorial and Toric Homotopy : Introductory Lectures.
(Lecture Notes Series, Institute for Mathematical Sciences, 35)
World Scientific, .
(doi:10.1142/9789813226579_0001).
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Book Section
Abstract
These notes describe some of the homotopy theory surrounding Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. These spaces are defined by gluing together prod- ucts formed from pairs of spaces (X, A), where the gluing is determined by the faces of a simplicial complex K. The emphasis is on determining homotopy types - of the spaces themselves, their suspensions and their based loop spaces - and showing how these homotopy types depend on a beautiful interplay between the topology of the pairs (X, A) and the combinatorics of the simplicial complex K.
Text
theriault
- Accepted Manuscript
More information
Accepted/In Press date: 24 October 2017
e-pub ahead of print date: October 2017
Published date: December 2017
Identifiers
Local EPrints ID: 417494
URI: http://eprints.soton.ac.uk/id/eprint/417494
ISSN: 1793-0758
PURE UUID: 7c8fc081-56d8-421b-b905-0355494e5a45
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Date deposited: 01 Feb 2018 17:30
Last modified: 16 Mar 2024 04:13
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Contributors
Editor:
Alastair Darby
Editor:
Jelena Grbic
Editor:
Zhi Lu
Editor:
Jie Wu
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