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Basic Properties of Symplectic Dirac Operators

✍ Scribed by K. Habermann


Book ID
105904175
Publisher
Springer
Year
1997
Tongue
English
Weight
248 KB
Volume
184
Category
Article
ISSN
0010-3616

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Symplectic Surgery and the Spinc–Dirac O
✍ Eckhard Meinrenken πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 512 KB

Let G be a compact connected Lie group, and (M, |) a compact Hamiltonian G-space, with moment map J : M Γ„ g\*. Under the assumption that these data are pre-quantizable, one can construct an associated Spin c Dirac operator % C , whose equivariant index yields a virtual representation of G. We prove