English

Decorated Marked Surfaces: Calabi-Yau categories and related topics

Representation Theory 2018-12-04 v1 Category Theory Geometric Topology

Abstract

This is a survey on the project `Decorated Marked Surfaces', where we introduce the decoration Δ\Delta on a marked surfaces S\mathbf{S}, to study Calabi-Yau-2 (cluster) categories, Calabi-Yau-3 (Fukaya) categories, braid groups for quivers with potential, quadratic differentials and stability conditions.

Keywords

Cite

@article{arxiv.1812.00008,
  title  = {Decorated Marked Surfaces: Calabi-Yau categories and related topics},
  author = {Yu Qiu},
  journal= {arXiv preprint arXiv:1812.00008},
  year   = {2018}
}

Comments

This survey is contributed to the proceedings of the 51st Symposium on Ring Theory and Representation Theory (Sep. 2018 @ Okayama)