Constructible functions and Lagrangian cycles on orbifolds
Davesh Maulik, David Treumann
TL;DR
This paper extends the Kashiwara index formula, which relates constructible functions and Lagrangian cycles, from smooth manifolds to smooth orbifolds, thereby broadening its applicability.
Contribution
The authors generalize the Kashiwara index formula to smooth orbifolds, addressing a previously open question by Behrend.
Findings
Generalization of the index formula to orbifolds
Establishment of a relationship between constructible functions and Lagrangian cycles on orbifolds
Answer to Behrend's question about the orbifold case
Abstract
On a smooth manifold M, the Kashiwara index formula expresses the weighted Euler characteristic of a constructible function in terms of its characteristic cycle. We generalize this formula to the case when M is a smooth orbifold, answering a question of Behrend.
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
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology