Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.800855
Title: Massey products in moment-angle complexes
Author: Linton, Abigail Harriet Medina
Awarding Body: University of Southampton
Current Institution: University of Southampton
Date of Award: 2019
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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.
Supervisor: Grbic, Jelena Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.800855  DOI: Not available
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