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The syzygy order of big
polygon spaces
Matthias Franz and Jianing Huang |
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Algebraic & Geometric Topology 20 (2020) 2657–2675
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Abstract |
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Big polygon spaces are compact orientable manifolds with a torus action whose equivariant cohomology can be torsion-free or reflexive without being free as a module over . We determine the exact syzygy order of the equivariant cohomology of a big polygon space as a function of the length vector defining it. The proof uses a refined characterization of syzygies in terms of certain linearly independent elements in adapted to the isotropy groups occurring in a given –space. |
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Keywords
equivariant cohomology, syzygy, big polygon space
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Mathematical Subject Classification 2010
Primary: 55N91
Secondary: 13D02, 55R80
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References |
Publication
Received: 20 June 2019
Accepted: 10 October 2019
Published: 4 November 2020
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Authors |
| Matthias Franz | |
| Department of Mathematics University of Western Ontario London ON Canada |
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| Jianing Huang | |
| Department of Mathematics University of Western Ontario London ON Canada |
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