Generalized Donaldson-Thomas invariants on the local projective plane

2014/05/14 by Yukinobu Toda, Toda, Yukinobu · 1 citation
Mathematics · #14N35 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1405.3366

openalex publication_date 2014/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Donaldson-Thomas invariants via microlocal geometry
• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Cited by

• Appell Functions for General Lattices

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