Topics in Algebraic Deformation Theory
Anthony Giaquinto
TL;DR
This paper surveys the development of algebraic deformation theory, highlighting key themes such as cohomology, infinitesimal methods, and explicit formulas, with a focus on Murray Gerstenhaber's contributions.
Contribution
It provides a historical overview and emphasizes the foundational role of Gerstenhaber's work in algebraic deformation theory.
Findings
Highlights the importance of cohomology in deformation theory
Emphasizes the role of infinitesimal methods
Discusses explicit global deformation formulas
Abstract
We give a selective survey of topics in algebraic deformation theory ranging from its inception to current times. Throughout, the numerous contributions of Murray Gerstenhaber are emphasized, especially the common themes of cohomology, infinitesimal methods, and explicit global deformation formulas.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Dynamics and Control of Mechanical Systems · Mathematics and Applications