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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

3 votes
0 answers
91 views

Algebro-geometric construction of ramified Donaldson invariants

I would like to know if people have constructed an algebro-geometric description or interpretation of the ramified Donaldson invariants of Kronheimer and Mrowka in the same spirit of Li, see for examp …
Gorbz's user avatar
  • 661
12 votes
0 answers
505 views

CohFT: Witten vs. Kontsevich and Manin

Is there any connection to CohFTs as defined by Witten in his 1988 paper (via topological twist) and the CohFTs as defined by Kontsevich and Manin (in the context of Gromov-Witten theory of course). …
Gorbz's user avatar
  • 661
8 votes
0 answers
169 views

On constructible Hall algebra and instantons

I heard in a talk by Yan Soibelman that by starting with a quiver $Q$ with a set of vertices $I$ we can either symmetrize or anti-symmetrize its Euler-Ringel form $\chi_Q$. He claims that anti-symmetr …
Gorbz's user avatar
  • 661
7 votes
0 answers
224 views

Relation between Donaldson invariants and GW invariants

What is known about the relation of Donaldson invariants on a complex surface $\Sigma$ and GW invariants (or equivalent) of local Calabi-Yau 3folds such as the canonical bundle of $\Sigma$? (if any of …
Gorbz's user avatar
  • 661