LEADER 03099nam 2200601 450 001 9910480646003321 005 20180613001258.0 010 $a0-8218-8752-1 035 $a(CKB)3360000000464080 035 $a(EBL)3114420 035 $a(SSID)ssj0000889262 035 $a(PQKBManifestationID)11478763 035 $a(PQKBTitleCode)TC0000889262 035 $a(PQKBWorkID)10876279 035 $a(PQKB)11557243 035 $a(MiAaPQ)EBC3114420 035 $a(PPN)19541909X 035 $a(EXLCZ)993360000000464080 100 $a20150416h20122012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA theory of generalized Donaldson-Thomas invariants /$fDominic Joyce, Yinan Song 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012. 210 4$d©2012 215 $a1 online resource (199 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 217, Number 1020 300 $a"May 2012, Volume 217, Number 1020 (second of 4 numbers)." 311 $a0-8218-5279-5 320 $aIncludes bibliographical references and index. 327 $a""5.4. Invariants ^{\ , }( a???) counting stable pairs, and deformation-invariance of the ^{\ }( )""""Chapter 6. Examples, applications, and generalizations""; ""6.1. Computing ^{ , }( a???), ^{ }( ) and ^{ }( ) in examples""; ""6.2. Integrality properties of the ^{ }( )""; ""6.3. Counting dimension zero sheaves""; ""6.4. Counting dimension one sheaves""; ""6.5. Why it all has to be so complicated: an example""; ""6.6. -stability and invariants ^{ }( )""; ""6.7. Extension to noncompact Calabia???Yau 3-folds"" 327 $a""6.8. Configuration operations and extended Donaldsona???Thomas invariants""""Chapter 7. Donaldsona???Thomas theory for quivers with superpotentials""; ""7.1. Introduction to quivers""; ""7.2. Quivers with superpotentials, and 3-Calabia???Yau categories""; ""7.3. Behrend function identities, Lie algebra morphisms, and Donaldsona???Thomas type invariants""; ""7.4. Pair invariants for quivers""; ""7.5. Computing ^{ }_{ , }( ), ^{ }_{ , }( ) in examples""; ""7.6. Integrality of ^{ }_{ }( ) for generic ( ,a???,a?©?)""; ""Chapter 8. The proof of Theorem 5.3"" 327 $a""Chapter 9. The proofs of Theorems 5.4 and 5.5"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 217, Number 1020. 606 $aDonaldson-Thomas invariants 606 $aCalabi-Yau manifolds 606 $aSheaf theory 608 $aElectronic books. 615 0$aDonaldson-Thomas invariants. 615 0$aCalabi-Yau manifolds. 615 0$aSheaf theory. 676 $a516.3/52 700 $aJoyce$b Dominic D.$066989 702 $aSong$b Yinan$f1977- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480646003321 996 $aA theory of generalized Donaldson-Thomas invariants$92113202 997 $aUNINA