On exact triangles consisting of stable vector bundles on tori
Kazushi Kobayashi
TL;DR
This paper explores the structure of exact triangles formed by stable vector bundles on complex tori and interprets them through the lens of the Fukaya category using homological mirror symmetry.
Contribution
It provides a geometric interpretation of exact triangles of stable vector bundles on tori in the context of homological mirror symmetry.
Findings
Establishes a link between stable vector bundles and Fukaya categories.
Offers a geometric perspective on exact triangles in the derived category.
Enhances understanding of mirror symmetry for complex tori.
Abstract
In this paper, we consider the exact triangles consisting of stable vector bundles on one-dimensional complex tori, and give a geometric interpretation of them in terms of the corresponding Fukaya category via the homological mirror symmetry.
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
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Geometry and complex manifolds