Lecture notes on sheaves and perverse sheaves
Mark Goresky
TL;DR
These lecture notes provide an accessible overview of sheaves, derived categories, Morse theory, and perverse sheaves, including recent developments like cellular perverse sheaves, with proofs and references for further study.
Contribution
They introduce cellular perverse sheaves and connect sheaf theory with Morse theory and representation theory in an informal, example-driven manner.
Findings
Introduction of cellular perverse sheaves
Connections between sheaves and Morse theory
Applications to representation theory
Abstract
Informal lecture notes with examples on sheaf theory and the derived category of sheaves; sheaves and Morse theory; perverse sheaves, and some applications to representation theory. Added Oct 2021: cellular perverse sheaves. Proofs are outlined with references for further details.
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
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Molecular spectroscopy and chirality