13 citations · 14 across the 5 of their papers we have counts for
6 papers
Counting Invariant Curves: a theory of Gopakumar-Vafa invariants for Calabi-Yau threefolds with an involution
Jim Bryan, Stephen Pietromonaco
We develop a theory of Gopakumar-Vafa (GV) invariants for a Calabi-Yau threefold (CY3) which is equipped with an involution preserving the holomorphic volume form. We…
-invariant Hilbert Schemes on Abelian Surfaces and Enumerative Geometry of the Orbifold Kummer Surface
Stephen Pietromonaco
For an Abelian surface with a symplectic action by a finite group , one can define the partition function for -invariant Hilbert schemes \[Z_{A, G}(q) = \sum_{d=0}^{\inft…
Lectures on the Calabi-Yau Landscape
Jiakang Bao, Yang-Hui He, Edward Hirst +1
In these lecture notes, we survey the landscape of Calabi-Yau threefolds, and the use of machine learning to explore it. We begin with the compact portion of the landscape, focusin…
An Introduction to Modern Enumerative Geometry with Applications to the Banana Manifold
Stephen Pietromonaco
The banana manifold is a smooth projective Calabi-Yau threefold fibered over by abelian surfaces. Each singular fiber contains a "banana configura…
The Derived Category of Coherent Sheaves and B-model Topological String Theory
Stephen Pietromonaco
This elementary survey article was prepared for a talk at the 2016 Superschool on Derived Categories and D-branes. The goal is to outline an identification of the bounded derived c…
Emergent Geometry Through Holomorphic Matrix Models
Stephen Pietromonaco
Over the years, deep insights into string theory and supersymmetric gauge theories have come from studying geometry emerging from matrix models. In this thesis, I study the N=1* an…