New answers tagged moduli-spaces
4
votes
Accepted
Vanishing of higher morphisms for pair moduli
This is not true in general. Consider, for instance, the moduli space of skyscraper sheaves on an elliptic curve $X$. Thus, $P = X$, $\mathcal{F} = \Delta_*\mathcal{O}_X$ is the structure sheaf of the ...
- 38.5k
4
votes
The smoothness of solutions to the Hitchin self-dual equations within a stable orbit after Sobolev completion
Yes.
Denote by $D$ your $W^{1,2}$ unitary connection with respect to the (smooth) hermitian metric $H,$ and let $g$ be the (complex) $W^{2,2}$ gauge transform such that the gauged connection $\nabla:=...
- 6,795
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