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
June 2019
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
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Local EPrints ID: 438662
URI: http://eprints.soton.ac.uk/id/eprint/438662
PURE UUID: fd8c2eaa-b178-4ad9-b463-e3787a4090f9
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Date deposited: 20 Mar 2020 17:30
Last modified: 17 Mar 2024 03:30
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Author:
Abigail, Harriet Medina Linton
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