EGL formula for DT/PT theory of local curves
Algebraic Geometry
2019-01-11 v1 Mathematical Physics
math.MP
Abstract
In this note we prove an integral formula for the bare one-leg PT vertex with descendents. The formula follows from the PT version of Ellingsrud-G\"ottsche-Lehn formula that is explained here. We apply the integral formula to obtain an elementary proof of rationality of one-leg capped PT vertex with descendents. We also obtain an integral formula for degree zero DT invariants with descendents. Finally we propose an explicit non-equivariant DT/PT correspondence as well as one descendent insertion fully-equivariant DT/PT formula.
Keywords
Cite
@article{arxiv.1901.03014,
title = {EGL formula for DT/PT theory of local curves},
author = {A. Oblomkov},
journal= {arXiv preprint arXiv:1901.03014},
year = {2019}
}
Comments
17 pages, no figures. Comments are welcome!