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Results tagged with euler-characteristics
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user 9617
19
votes
Accepted
In Gromov-Witten theory, why is the string coupling constant weighted by $2g-2$?
Here is a purely mathematical reason why we prefer to put $u^{2g-2}$ in our generating function instead of, say, $u^g$.
The generating function you write,
$$\sum_{g,\beta} GW_{g,\beta}(X) u^{2g-2}Q …
- 5,940
4
votes
Accepted
Euler number for base change of a K3 surface
Assuming that the branched locus of the map $C\to \mathbb{P}^1$ contains only points $b\in \mathbb{P}^1$ corresponding to smooth fibers of the map $S\to \mathbb{P}^1$, the surface $S_1$ will be a no …
- 5,940