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Results tagged with ag.algebraic-geometry
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user 20787
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
11
votes
A direct proof of the Harer-Zagier recursion enumerating the ways to paste a 2n-gon to get a...
How about
Goulden, I. P.; Nica, A.
A direct bijection for the Harer-Zagier formula.
J. Combin. Theory Ser. A 111 (2005), no. 2, 224–238.
or one of the references therein?
- 15.4k
3
votes
Accepted
About isotopy and homotopy
Once you have found an annulus $R \subset S$ whose two boundary components are $\alpha$ and $\beta$, by definition of "annulus" there exists a homeomorphism $H : S^1 \times [0,1] \to R$. The compositi …
- 15.4k
2
votes
Finite index subgroups of the mapping class group with geometric meaning
I doubt there is a "classification", but there are some interesting examples. Two which come to mind: Harer's description of the moduli space of a Riemann surface with spin structure; and Torelli spac …
- 15.4k