03326nam 2200589 450 991081173340332120180731044628.01-4704-0483-4(CKB)3360000000465063(EBL)3114205(SSID)ssj0000888797(PQKBManifestationID)11456886(PQKBTitleCode)TC0000888797(PQKBWorkID)10875120(PQKB)11692532(MiAaPQ)EBC3114205(RPAM)14685373(PPN)195417682(EXLCZ)99336000000046506320150417h20072007 uy 0engur|n|---|||||txtccrBetti numbers of the moduli space of rank 3 parabolic Higgs bundles /O. García-Prada, P. B. Gothen, V. MuñozProvidence, Rhode Island :American Mathematical Society,2007.©20071 online resource (96 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 187, Number 879"Volume 187, Number 879 (end of volume)."0-8218-3972-1 Includes bibliographical references.""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Parabolic Higgs bundles""; ""1. Definitions and basic facts""; ""2. Deformation theory""; ""3. Parabolic Higgs bundles and gauge theory""; ""Chapter 3. Morse theory on the moduli space""; ""1. The Morse function""; ""2. Fixed points of the S[sup(1)] action on the moduli space""; ""3. Morse indices""; ""4. Rank three parabolic Higgs bundles""; ""5. Laumon's Theorem for parabolic Higgs bundles""; ""Chapter 4. Parabolic triples""; ""1. Definitions and basic facts""; ""2. Parabolic Higgs bundles and parabolic triples""""3. Extensions and deformations of parabolic triples""""Chapter 5. Critical values and flips""; ""1. Critical values""; ""2. Crossing critical values and universal extensions""; ""3. Flips""; ""Chapter 6. Parabolic triples with r[sub(1)] = 2 and r[sub(2)] = 1""; ""1. Flips""; ""2. Poincare polynomial of moduli of triples""; ""Chapter 7. Critical submanifolds of type (1,1,1)""; ""1. Description of the critical submanifolds""; ""2. The sum for fixed Ï?""; ""3. The sum over Ï?""; ""Chapter 8. Critical submanifolds of type (1,2)""; ""1. Description of the critical submanifolds""""2. Morse indices""""3. Critical submanifolds of type (1,1,1)""; ""4. Parabolic triples of fixed determinant""; ""5. Critical submanifolds of type (1,2) and (2,1)""; ""6. Critical submanifolds of type (3)""; ""7. Betti numbers of the fixed determinant moduli space""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 187, Number 879.Vector bundlesModuli theoryVector bundles.Moduli theory.514/.224García-Prada O(Oscar),1960-1644416Gothen P. B(Peter Beier),1967-Muñoz V(Vicente),1971-MiAaPQMiAaPQMiAaPQBOOK9910811733403321Betti numbers of the moduli space of rank 3 parabolic Higgs bundles3990257UNINA