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Homotopically rigid sullivan algebras and their applications

Homotopically rigid sullivan algebras and their applications
Homotopically rigid sullivan algebras and their applications

In this paper we construct an infinite family of homotopically rigid spaces. These examples are then used as building blocks to forge highly connected rational spaces with prescribed finite group of self-homotopy equivalences. They are also exploited to provide highly connected inflexible and strongly chiral manifolds.

Inflexible manifolds, Poincaré duality, Rational homotopy theory, Self-homotopy equivalences
103-121
American Mathematical Society
Costoya, Cristina
835f21d2-8417-43d4-8fda-79c32c6dbbd4
Méndez, David
082b86ce-ba78-4519-9713-ff1a38f65c96
Viruel, Antonio
e2cacd64-35e4-43de-9e5a-2df17c5775f8
Costoya, Cristina
835f21d2-8417-43d4-8fda-79c32c6dbbd4
Méndez, David
082b86ce-ba78-4519-9713-ff1a38f65c96
Viruel, Antonio
e2cacd64-35e4-43de-9e5a-2df17c5775f8

Costoya, Cristina, Méndez, David and Viruel, Antonio (2018) Homotopically rigid sullivan algebras and their applications. In, Contemporary Mathematics. American Mathematical Society, pp. 103-121. (doi:10.1090/conm/708/14270).

Record type: Book Section

Abstract

In this paper we construct an infinite family of homotopically rigid spaces. These examples are then used as building blocks to forge highly connected rational spaces with prescribed finite group of self-homotopy equivalences. They are also exploited to provide highly connected inflexible and strongly chiral manifolds.

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More information

Published date: 1 January 2018
Keywords: Inflexible manifolds, Poincaré duality, Rational homotopy theory, Self-homotopy equivalences

Identifiers

Local EPrints ID: 440869
URI: http://eprints.soton.ac.uk/id/eprint/440869
DOI: doi:10.1090/conm/708/14270
PURE UUID: 92172759-b97b-4f35-a6cc-67353d9be80a
ORCID for David Méndez: ORCID iD orcid.org/0000-0003-4023-172X

Catalogue record

Date deposited: 21 May 2020 16:30
Last modified: 17 Mar 2024 12:39

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Contributors

Author: Cristina Costoya
Author: David Méndez ORCID iD
Author: Antonio Viruel

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