Geometric presentation for the cohomology ring of polygon spaces
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- by I. Nekrasov and G. Panina
- St. Petersburg Math. J. 31 (2020), 59-67
- DOI: https://doi.org/10.1090/spmj/1584
- Published electronically: December 3, 2019
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Abstract:
In geometrically meaningful terms, the cohomology ring is described for the moduli space of a flexible polygon. Two presentations are proposed, both are computation friendly: there are simple rules for the cup product.References
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Bibliographic Information
- I. Nekrasov
- Affiliation: Chebyshev Laboratory, St. Petersburg State University, 14 Liniya V. O. 29B, 199178 St. Petersburg, Russia
- Email: geometr.nekrasov@yandex.ru
- G. Panina
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia; St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg 199034, Russia
- Email: gaiane-panina@rambler.ru
- Received by editor(s): February 13, 2018
- Published electronically: December 3, 2019
- Additional Notes: This research is supported by the Russian Science Foundation under grant no. 16-11-10039
- © Copyright 2019 American Mathematical Society
- Journal: St. Petersburg Math. J. 31 (2020), 59-67
- MSC (2010): Primary 51M15
- DOI: https://doi.org/10.1090/spmj/1584
- MathSciNet review: 3932817