Generalized Donaldson-Thomas invariants on the local projective plane

Abstract

We show that the generating series of generalized Donaldson-Thomas invariants on the local projective plane with any positive rank is described in terms of modular forms and theta type series for indefinite lattices. In particular it absolutely converges to give a holomorphic function on the upper half plane.

25 pages

References in corpus (4)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Mock Theta Functions
• Donaldson-Thomas invariants via microlocal geometry
• Invariants of moduli spaces of stable sheaves on ruled surfaces

Cited by in corpus (1)

• Vafa-Witten invariants from exceptional collections