LEADER 03326nam 2200589 450 001 9910788744203321 005 20180731044628.0 010 $a1-4704-0483-4 035 $a(CKB)3360000000465063 035 $a(EBL)3114205 035 $a(SSID)ssj0000888797 035 $a(PQKBManifestationID)11456886 035 $a(PQKBTitleCode)TC0000888797 035 $a(PQKBWorkID)10875120 035 $a(PQKB)11692532 035 $a(MiAaPQ)EBC3114205 035 $a(RPAM)14685373 035 $a(PPN)195417682 035 $a(EXLCZ)993360000000465063 100 $a20150417h20072007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBetti numbers of the moduli space of rank 3 parabolic Higgs bundles /$fO. Garci?a-Prada, P. B. Gothen, V. Mun?oz 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2007. 210 4$dİ2007 215 $a1 online resource (96 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 187, Number 879 300 $a"Volume 187, Number 879 (end of volume)." 311 $a0-8218-3972-1 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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 I??""; ""3. The sum over I??""; ""Chapter 8. Critical submanifolds of type (1,2)""; ""1. Description of the critical submanifolds"" 327 $a""2. Morse indices""""3. Critical submanifolds of type (1,1,1)""; ""4. Parabolic triples of fixed determinant""; ""5. Critical submanifolds of type (1,2) and (2,1)""; ""6. Critical submanifolds of type (3)""; ""7. Betti numbers of the fixed determinant moduli space""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 187, Number 879. 606 $aVector bundles 606 $aModuli theory 615 0$aVector bundles. 615 0$aModuli theory. 676 $a514/.224 700 $aGarci?a-Prada$b O$g(Oscar),$f1960-$01567048 702 $aGothen$b P. B$g(Peter Beier),$f1967- 702 $aMun?oz$b V$g(Vicente),$f1971- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788744203321 996 $aBetti numbers of the moduli space of rank 3 parabolic Higgs bundles$93838142 997 $aUNINA