80 citations · 437 across the 36 of their papers we have counts for
29 papers · 1 filter
Gopakumar-Vafa Invariants for Local Calabi-Yau Orbifolds of -type
Jim Bryan, Stephen Pietromonaco
Let be a local orbifold Calabi-Yau threefold whose coarse space has transverse singularities along a smooth non-compact curve. We define orbifold Gopakuma…
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…
-fixed Hilbert schemes on surfaces, modular forms, and eta products
Jim Bryan, Ádám Gyenge
Let be a complex surface with an effective action of a group which preserves the holomorphic symplectic form. Let $$ Z_{X,G}(q) = \sum_{n=0}^{\infty} e\left(\operatorn…
The Donaldson-Thomas partition function of the banana manifold
Jim Bryan
A banana manifold is a compact Calabi-Yau threefold, fibered by Abelian surfaces, whose singular fibers have a singular locus given by a "banana configuration of curves". A basic e…
CHL Calabi-Yau threefolds: Curve counting, Mathieu moonshine and Siegel modular forms
Jim Bryan, Georg Oberdieck
A CHL model is the quotient of by an order automorphism which acts symplectically on the K3 surface and acts by shifting by an -torsion point on the e…
Existence of locally maximally entangled quantum states via geometric invariant theory
Jim Bryan, Zinovy Reichstein, Mark Van Raamsdonk
We study a question which has natural interpretations in both quantum mechanics and in geometry. Let be complex vector spaces of dimension and let $G=…