Perverse schobers on Riemann surfaces: constructions and examples
Algebraic Geometry
2018-11-20 v2 Representation Theory
Abstract
This note studies perverse sheaves of categories, or schobers, on Riemann surfaces, following ideas of Kapranov and Schechtman. For certain wall crossings in geometric invariant theory, I construct a schober on the complex plane, singular at each imaginary integer. I use this to obtain schobers for standard flops: in the 3-fold case, I relate these to a further schober on a partial compactification of a stringy Kaehler moduli space, and suggest an application to mirror symmetry.
Cite
@article{arxiv.1801.05319,
title = {Perverse schobers on Riemann surfaces: constructions and examples},
author = {W. Donovan},
journal= {arXiv preprint arXiv:1801.05319},
year = {2018}
}
Comments
Revised following referee comments. 27 pages, 4 figures