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A∞-Structures and Moduli Spaces

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Title: A∞-Structures and Moduli Spaces
Description: This book discusses certain moduli problems related to A∞-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 A∞-structures. For example, he gives a sufficient criterion for the existence of a finite-type moduli scheme of A∞-structures extending a given associative algebra. He also considers two concrete moduli problems for A∞-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.
Authors: Alexander Polishchuk
Resource Type: eBook.
Subjects: Categories (Mathematics), Geometry, Algebraic
Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 3808230
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PubType: eBook
PubTypeId: ebook
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  Data: A∞-Structures and Moduli Spaces
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  Label: Description
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  Data: This book discusses certain moduli problems related to A∞-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 A∞-structures. For example, he gives a sufficient criterion for the existence of a finite-type moduli scheme of A∞-structures extending a given associative algebra. He also considers two concrete moduli problems for A∞-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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RecordInfo BibRecord:
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    Classifications:
      – Code: 510
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Categories (Mathematics)
        Type: general
      – SubjectFull: Geometry, Algebraic
        Type: general
    Titles:
      – TitleFull: A∞-Structures and Moduli Spaces
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Alexander Polishchuk
      – PersonEntity:
          Name:
            NameFull: Alexander Polishchuk
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2022
            – D: 07
              M: 06
              Type: profile
              Y: 2024
          Identifiers:
            – Type: isbn-print
              Value: 9783985470266
            – Type: isbn-electronic
              Value: 9783985475261
          Titles:
            – TitleFull: A∞-Structures and Moduli Spaces
              Type: main
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