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Results tagged with spin-geometry
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user 167255
For questions about spin manifolds, the groups $\operatorname{Spin}(n)$, as well as generalisations such as $\operatorname{Pin}^{\pm}(n)$ and $\operatorname{Spin}^c(n)$. This tag should also be used for any questions about the geometry of spin manifolds, including questions involving Dirac operators and the Lichnerowicz formula.
3
votes
Has Witten's perturbation on de Rham complex been studied on other elliptic complexes?
Witten already discusses deformations for other complexes including the signature complex in his first paper. He formulated Morse inequalities for the Dolbeault complex on K"ahler manifolds in a follo …
- 51
1
vote
Induced action by an involution on spinor bundle and Dirac operator
For question 2, the original manifold M will be a double cover of the quotient space since it's an involution, and if you have an operator that commutes with the involution on the covering space, it s …
- 12.9k