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Results tagged with moduli-spaces
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user 5010
Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.
10
votes
Accepted
Wanted: differential coming from higher genus surface in Heegaard Floer homology
Yes, $S \to \Sigma$ can fail to be an immersion. The failure is a branch point of the map $S \to \Sigma$, since it is (close to) a holomorphic map. This is fairly common as soon as the multiplicity …
- 10.1k
8
votes
Details for the action of the braid group B_3 on modular forms
$\widetilde{\textit{SL}_2(\mathbb{R})}$ is not so complicated, but one of the best descriptions is just that. It has no faithful finite-dimensional representations, which makes things a little tricky …
- 10.1k
6
votes
Stable graphs: Feynman diagrams and Deligne-Mumford space
I'm not sure exactly what the question is, but let me comment that lots of Feynman graphs with lots of different rules for labelling the vertices come up in QFT, as explained by Theo. From the QFT po …
- 10.1k