Work

Some examples of family Floer mirrors

Year: 2024

Type: article

Abstract: In this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi-Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel for suitably chosen log Calabi-Yau pairs and the rank two cluster varieties of finite type. In particular, the analytifications of the later two give partial compactifications of the family Floer mirrors that we computed.

Source: Advances in Theoretical and Mathematical Physics

DOI: 10.4310/atmp.241029013103

Authors: Man-Wai Cheung, Yu-Shen Lin

Institutions: Kavli Institute for the Physics and Mathematics of the Universe, Boston University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: G3651267785, Interfaces of Combinatorics and Physics, Gravitational Instantons, Mirror Symmetry, and Enumerative Geometry