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Massey products in moment-angle complexes

Massey products in moment-angle complexes
Massey products in moment-angle complexes
This thesis presents systematic constructions of new non-trivial higher Massey products in the cohomology of moment-angle complexes. This is achieved by using combinatorial operations, such as stellar subdivision and edge contraction, on the underlying simplicial complex of a moment-angle complex. These techniques construct non-trivial higher Massey products of cohomology classes in degree three or higher and can be used on any simplicial complex. Consequently, we find new examples of non-trivial Massey products in moment-angle manifolds Ζp for simple polytopes P that are neither truncated n-cubes nor Pogorelov polytopes, both of which have already been studied in the literature.
University of Southampton
Linton, Abigail, Harriet Medina
a5b79d78-046f-4486-9113-a8035250c81f
Linton, Abigail, Harriet Medina
a5b79d78-046f-4486-9113-a8035250c81f
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175

Linton, Abigail, Harriet Medina (2019) Massey products in moment-angle complexes. University of Southampton, Doctoral Thesis, 95pp.

Record type: Thesis (Doctoral)

Abstract

This thesis presents systematic constructions of new non-trivial higher Massey products in the cohomology of moment-angle complexes. This is achieved by using combinatorial operations, such as stellar subdivision and edge contraction, on the underlying simplicial complex of a moment-angle complex. These techniques construct non-trivial higher Massey products of cohomology classes in degree three or higher and can be used on any simplicial complex. Consequently, we find new examples of non-trivial Massey products in moment-angle manifolds Ζp for simple polytopes P that are neither truncated n-cubes nor Pogorelov polytopes, both of which have already been studied in the literature.

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Published date: June 2019

Identifiers

Local EPrints ID: 438662
URI: http://eprints.soton.ac.uk/id/eprint/438662
PURE UUID: fd8c2eaa-b178-4ad9-b463-e3787a4090f9
ORCID for Jelena Grbic: ORCID iD orcid.org/0000-0002-7164-540X

Catalogue record

Date deposited: 20 Mar 2020 17:30
Last modified: 13 Dec 2021 03:09

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Contributors

Author: Abigail, Harriet Medina Linton
Thesis advisor: Jelena Grbic ORCID iD

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