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Results tagged with ag.algebraic-geometry
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user 27069
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
7
votes
0
answers
312
views
What is the kernel of $i^*:H^*(\overline{\mathcal{M}}_{g,n},\mathbb{Q}) \to H^*(\overline{\m...
Let $\overline{\mathcal{M}}_{g,n}$ be the Deligne-Mumford moduli space of stable algebraic curves. I would like to know which rational cohomology classes or at least which tautological classes on $\ov …
- 654
3
votes
Accepted
Gromov-Witten invariant $\langle p, p, \ell\rangle_{0, 1}$ counting degree $1$, genus $0$ cu...
As Dan says, you can use the divisor equation:
$$\langle e_{\alpha_1}, \ldots, e_{\alpha_n}, \ell \rangle_{g,d} = d\ \langle e_{\alpha_1}, \ldots, e_{\alpha_n} \rangle_{g,d} $$
where the $e_{\alpha_ …
- 654
1
vote
Higher genus Gromov-Witten potential
Usually the distinction between classical and quantum is restricted to the genus 0 part: it distinguishes between degree 0 and any degree GW invariants. In particular degree 0, 3-point invariants just …
- 654