A8-Structures and Moduli Spaces
Produktnummer:
18589ba37bcf38486cb9dc0266273f0d19
Autor: | Polishchuk, Alexander |
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Themengebiete: | A8-structures Hochschild cohomology Massey products associative Yang–Baxter equation deformation theory moduli space of curves noncommutative order spherical object |
Veröffentlichungsdatum: | 01.12.2022 |
EAN: | 9783985470266 |
Auflage: | 1 |
Sprache: | Englisch |
Seitenzahl: | 172 |
Produktart: | Kartoniert / Broschiert |
Verlag: | EMS Press |
Produktinformationen "A8-Structures and Moduli Spaces"
This book discusses certain moduli problems related to A8-structures. These structures can be viewed as a way of recording extra information on cohomology algebras. They are useful in describing derived categories appearing in geometry, and as such, they play an important role in homological mirror symmetry. The author presents some general results on the classification of A8-structures. For example, he gives a sufficient criterion for the existence of a finite-type moduli scheme of A8-structures extending a given associative algebra. He also considers two concrete moduli problems for A8-structures. The first is related to the moduli spaces of curves, while the second is related to the classification of solutions of an associative version of the Yang–Baxter equation. The book will be of interest to graduate students and researchers working in homological algebra, algebraic geometry, and related areas.

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