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Symplectic Dirac Operator and its Generalization

✍ Scribed by Svatopluk Krýsl


Book ID
105751403
Publisher
Springer
Year
2008
Tongue
English
Weight
259 KB
Volume
18
Category
Article
ISSN
0188-7009

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Symplectic Surgery and the Spinc–Dirac O
✍ Eckhard Meinrenken 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 512 KB

Let G be a compact connected Lie group, and (M, |) a compact Hamiltonian G-space, with moment map J : M Ä 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