Non-trivial higher Massey products in moment-angle complexes
Non-trivial higher Massey products in moment-angle complexes
As part of various obstruction theories, non-trivial Massey products have been studied in symplectic and complex geometry, commutative algebra and topology for a long time.
We introduce a general approach to constructing non-trivial Massey products in the cohomology of moment-angle complexes, using homotopy theoretical and combinatorial methods.
Our approach sets a unifying way of constructing higher Massey products of arbitrary cohomological classes and generalises all existing examples of non-trivial Massey products in moment-angle complexes.
As a result, we obtain explicit constructions of infinitely many non-formal manifolds that appear in topology, complex geometry and algebraic geometry.
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Linton, Abigail HM
1280d974-265f-4389-9b23-0fa65828ecf1
June 2021
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Linton, Abigail HM
1280d974-265f-4389-9b23-0fa65828ecf1
Grbic, Jelena and Linton, Abigail HM
(2021)
Non-trivial higher Massey products in moment-angle complexes.
Advances in Mathematics, 52.
(doi:10.1016/j.aim.2021.107837).
Abstract
As part of various obstruction theories, non-trivial Massey products have been studied in symplectic and complex geometry, commutative algebra and topology for a long time.
We introduce a general approach to constructing non-trivial Massey products in the cohomology of moment-angle complexes, using homotopy theoretical and combinatorial methods.
Our approach sets a unifying way of constructing higher Massey products of arbitrary cohomological classes and generalises all existing examples of non-trivial Massey products in moment-angle complexes.
As a result, we obtain explicit constructions of infinitely many non-formal manifolds that appear in topology, complex geometry and algebraic geometry.
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Grbic_Linton_Masseyproducts
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Accepted/In Press date: 26 January 2021
e-pub ahead of print date: 23 March 2021
Published date: June 2021
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Local EPrints ID: 449938
URI: http://eprints.soton.ac.uk/id/eprint/449938
ISSN: 0001-8708
PURE UUID: 781c1c7d-cfa0-4382-9069-d2584c41a9df
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Date deposited: 28 Jun 2021 16:31
Last modified: 17 Mar 2024 03:30
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Author:
Abigail HM Linton
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