Obstruction theories and virtual fundamental classes
Jonathan Wise
TL;DR
This paper introduces a new approach to defining obstruction theories in deformation theory, connecting it with previous frameworks by Artin, Fantechi-Manetti, Li-Tian, and Behrend-Fantechi.
Contribution
It provides a novel definition of obstruction theories and clarifies their relationship with established concepts in algebraic geometry.
Findings
Unified framework for obstruction theories
Connections between different existing definitions
Enhanced understanding of deformation problems
Abstract
We give a new definition of an obstruction theory for infinitesimal deformation theory and relate it to earlier definitions of Artin, Fantechi-Manetti, Li-Tian, and Behrend-Fantechi.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Numerical Analysis Techniques · Mathematics and Applications