本文從Hinich,Manetti和Pridham在同倫代數(shù)上的結(jié)果出發(fā),給出形變理論的一個(gè)通用方法.特別地,我們證明所有特征為0的形變函子被一個(gè)同倫意義下特定的分次李代數(shù)控制,同時(shí)對(duì)任意特征的形變函子給出了非交換的類似結(jié)果.

【文章頁(yè)數(shù)】：21 頁(yè)

【文章目錄】：
0 Introduction
1 Closed Model Categories
2 Brown Representability Theorem for Compactly Gener-ated Model Categories
3 MC Elements and MC Moduli Sets
    3.1 MC Moduli in dg Lie Algebras
    3.2 MC Moduli in dg Algebras
4 Koszul Duality
    4.1 dg Coalgebras and Pseudocompact dg Algebras
    4.2 Quillen Equivalence between DGLA and
    4.3 Quillen Equivalence between DGA/k and
    4.4 Relationship between Two Types of Koszul Duality
5 Main Theorems
    5.1 MC Elements and the Deformation Functor based on a dg Lie Algebra
    5.2 Finding a dg Lie Algebra associated with a Deformation Functor
    5.3 Associative Deformation Theory
    5.4 Finding a dg Algebra Associated with a Deformation Functor
    5.5 Comparing Commutative and Associative Deformations



本文編號(hào)：3821497