Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes

Research output: Working paperResearch



We study certain DT invariants arising from stable coherent sheaves in a nonsingular projective threefold supported on the members of a linear system of a fixed line bundle. When the canonical bundle of the threefold satisfies certain positivity conditions, we relate the DT invariants to Carlsson-Okounkov formulas for the "twisted Euler's number" of the punctual Hilbert schemes of nonsingular surfaces, and conclude they have a modular property.
Original languageEnglish
Publication statusPublished - 6 Sep 2019

Bibliographical note

First draft. Comments are welcome

See relations at Aarhus University Citationformats

ID: 176972495