| Résume | (Zero-dimensional) Donaldson-Thomas-invariants "count" things like ideal sheaves of a given length which have zero-dimensional support on a smooth projective complex threefold. Maulik, Nekrasov, Okounkov and Pandharipande have proven a formula for the generating series of these Donaldson-Thomas invariants in terms of the MacMahon function in the toric case.
We discuss a conjectural quadratically enriched analogue of this result for smooth projective real threefolds satisfying an orientation condition, using a quadratic version of Donaldson-Thomas invariants taking values in Witt rings which are constructed using work of Levine. We provide evidence for the conjecture coming from computations for and .
This talk is based on my thesis and on joint work with Marc Levine. |
