Advancements in Functorial Homological Mirror Symmetry
High Energy Physics - Theory
2025-09-16 v4 Mathematical Physics
Algebraic Geometry
math.MP
Symplectic Geometry
Abstract
Mostly inspired by recent work by Katzarkov, Kontsevich, and Sheshmani, combined with previous work by Aganagic, Ooguri, Saulina and Vafa with regard to BPS black hole microstate counting in terms of topological field theory calculations, we will show how these tools can be applied to concrete setups arising from String Theory, and why the formalism of functorial Homological Mirror Symmetry needs to be further developed. A crucial ingredient will turn out being cobordism techniques for evaluating invariants.
Keywords
Cite
@article{arxiv.2502.06951,
title = {Advancements in Functorial Homological Mirror Symmetry},
author = {Veronica Pasquarella},
journal= {arXiv preprint arXiv:2502.06951},
year = {2025}
}
Comments
29 pages + appendix and references; V4 published