A _∞-Structures and Moduli Spaces

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
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