Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
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| Main Authors: | , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
01.05.2007
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| Series: | Memoirs of the American Mathematical Society |
| ISBN: | 9780821839720, 0821839721 |
| ISSN: | 0065-9266, 1947-6221 |
| Online Access: | Get full text |
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Table of Contents:
- 1. Introduction -- 2. Parabolic Higgs bundles -- 3. Morse theory on the moduli space -- 4. Parabolic triples -- 5. Critical values and flips -- 6. Parabolic triples with <inline-formula content-type="math/mathml"> r 1 = 2 r_1 = 2 </inline-formula> and <inline-formula content-type="math/mathml"> r 2 = 1 r_2 = 1 </inline-formula> -- 7. Critical submanifolds of type (1,1,1) -- 8. Critical submanifolds of type (1,2) -- 9. Critical submanifolds of type (2,1) -- 10. Betti numbers of the moduli space of rank three parabolic bundles -- 11. Betti numbers of the moduli space of rank three parabolic Higgs bundles -- 12. The fixed determinant case