ENGLISH

A _∞-Structures and Moduli Spaces

By Alexander Polishchuk

Book information

Publisher
EMS
Year
2022
ISBN
9783985470266, 9783985475261
Language
english
Format
PDF
Filesize
794 kB (812824 bytes)
Series
Zurich Lectures in Advanced Mathematics
Pages
172\182
Time added
2023-01-01 06:39:15

Description

Front cover Front matter Introduction 1 Homological background 1 A_∞- and A_n-structures 2 Homological perturbation 3 Relation of A_∞-structures to Hochschild cohomology 4 Massey products for A_∞-categories and twisted objects 5 Triangulated structure and generators 6 Cyclic A_∞-structures 7 G-invariant A_∞-structures 2 Moduli spaces of A_∞-structures 8 The moduli problem 9 Nice quotients 10 Representability theorem 11 A_∞-structures with a segment of defining higher products 12 A class of minimally nonformal algebras 3 A_∞-structures and moduli of curves 13 Examples of calculations for curves 14 A_∞-structures and curves with nonspecial divisors 15 Representability of the moduli of A_∞-structures 16 Comparison of the moduli spaces via deformation theory 17 Invariants of curves via A_∞-structures 18 Case n=g 19 Case of genus 0 20 Case of genus 1 21 Hyperelliptic moduli 4 Pairs of 1-spherical objects, A_∞-structures, and Yang–Baxter equations 22 A_∞-structures associated with 1-spherical pairs 23 Solutions of the associative Yang–Baxter equation and 1-spherical pairs 24 Another approach to the moduli space of A_∞-structures References Index Back cover

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