00985nam0 22002291i 450 UON0019870620231205103243.65320030730d1941 |0itac50 baitaIT|||| ||||| Antologia Storico-DiplomaticaRaccolta ordinata di documenti diplomatici, politici, memorialistici, di trattati e convenzioni dal 1815 al 1940Ettore Anchieri MilanoIstituto per gli Studi di Politica Internazionale1941. 549 p.; 21 cm.ITMilanoUONL000005ANCHIERIEttoreUONV068060169837ISPIUONV249966650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00198706SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI IV POL A 0805 SI SC 4476 5 0805 Antologia storico-diplomatica36161UNIOR04518nam 2200577 450 991082880550332120220524023241.00-8218-8752-1(CKB)3360000000464080(EBL)3114420(SSID)ssj0000889262(PQKBManifestationID)11478763(PQKBTitleCode)TC0000889262(PQKBWorkID)10876279(PQKB)11557243(MiAaPQ)EBC3114420(RPAM)17131899(PPN)19541909X(EXLCZ)99336000000046408020150416h20122012 uy 0engur|n|---|||||txtccrA theory of generalized Donaldson-Thomas invariants /Dominic Joyce, Yinan SongProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (199 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 217, Number 1020"May 2012, Volume 217, Number 1020 (second of 4 numbers)."0-8218-5279-5 Includes bibliographical references and index.Chapter 1. Introduction -- 1.1. Brief sketch of background -- 1.2. Behrend functions of schemes and stacks, from chapter 4 -- 1.3. Summary of the main results in chapter 5 -- 1.4. Examples and applications in chapter 6 -- 1.5. Extension to quivers with superpotentials in chapter 7 -- 1.6. Relation to the work of Kontsevich and Soibelman [63] -- Chapter 2. Constructible functions and stack functions -- 2.1. Artin stacks and (locally) constructible functions -- 2.2. Stack functions -- 2.3. Operators and projections -- 2.4. Stack function spaces -- Chapter 3. Background material from [51-54] -- 3.1. Ringel-Hall algebras of an abelian category -- 3.2. (Weak) stability conditions on -- 3.3. Changing stability conditions and algebra identities -- 3.4. Calabi-Yau 3-folds and Lie algebra morphisms -- 3.5. Invariants and transformation laws -- Chapter 4. Behrend functions and Donaldson-Thomas theory -- 4.1. The definition of Behrend functions -- 4.2. Milnor fibres and vanishing cycles -- 4.3. Donaldson-Thomas invariants of Calabi-Yau 3-folds. -- 4.4. Behrend functions and almost closed 1-forms -- 4.5. Characterizing for Calabi-Yau 3-folds -- Chapter 5. Statements of main results -- 5.1. Local description of the moduli of coherent sheaves -- 5.2. Identities on Behrend functions of moduli stacks -- 5.3. A Lie algebra morphism and generalized Donaldson-Thomas invariants -- 5.4. Invariants counting stable pairs, and deformation-invariance -- Chapter 6. Examples, applications, and generalizations. -- 6.1. Computing and in examples 6.2. Integrality properties -- 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 Calabi-Yau 3-folds -- 6.8. Configuration operations and extended Donaldson-Thomas invariants -- Chapter 7. Donaldson-Thomas theory for quivers with superpotentials -- 7.1. Introduction to quivers -- 7.2. Quivers with superpotentials, and 3-Calabi-Yau categories. -- 7.3. Behrend function identities, Lie algebra morphisms, and Donaldson-Thomas type invariants 7.4. Pair invariants for quivers -- 7.5. Computing in examples -- 7.6. Integrality of for generic -- Chapter 8. The proof of Theorem 5.3 -- Chapter 9. The proofs of Theorems 5.4 and 5.5 -- 9.1. Holomorphic structures on a complex vector bundle -- 9.2. Moduli spaces of analytic vector bundles on -- 9.3. Constructing a good local atlas for near -- 9.4. Moduli spaces of algebraic vector bundles on. -- 9.5. Identifying versal families of holomorphic structures and algebraic vector bundles.Memoirs of the American Mathematical Society ;Volume 217, Number 1020.Donaldson-Thomas invariantsCalabi-Yau manifoldsSheaf theoryDonaldson-Thomas invariants.Calabi-Yau manifolds.Sheaf theory.516.3/52Joyce Dominic D.66989Song Yinan1977-MiAaPQMiAaPQMiAaPQBOOK9910828805503321A theory of generalized Donaldson-Thomas invariants3972448UNINA