52 citations · 193 across the 37 of their papers we have counts for
4 papers · 1 filter
Reduced Donaldson-Thomas invariants and the ring of dual numbers
Georg Oberdieck, Junliang Shen
Let be an abelian variety. We introduce -equivariant Grothendieck rings and -equivariant motivic Hall algebras, and endow them with natural integration maps to the ring o…
Curve counting on elliptic Calabi-Yau threefolds via derived categories
Georg Oberdieck, Junliang Shen
We prove the elliptic transformation law of Jacobi forms for the generating series of Pandharipande--Thomas invariants of an elliptic Calabi--Yau 3-fold over a reduced class in the…
Gromov-Witten theory of and quasi-Jacobi forms
Georg Oberdieck
Let be a K3 surface with primitive curve class . We solve the relative Gromov-Witten theory of in classes and . The generating series…
On reduced stable pair invariants
Georg Oberdieck
Let be the product of a K3 surface and an elliptic curve . Reduced stable pair invariants of can be defined via (1) cutting down the reduced virtual cla…