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1. |
Record Nr. |
UNINA9910788618203321 |
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Autore |
Joyce Dominic D. |
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Titolo |
A theory of generalized Donaldson-Thomas invariants / / Dominic Joyce, Yinan Song |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2012 |
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©2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (199 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 217, Number 1020 |
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Disciplina |
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Soggetti |
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Donaldson-Thomas invariants |
Calabi-Yau manifolds |
Sheaf theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"May 2012, Volume 217, Number 1020 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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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. |
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2. |
Record Nr. |
UNINA9910954468103321 |
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Autore |
Wolin Kathleen Y |
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Titolo |
Obesity / / Kathleen Y. Wolin, and Jennifer M. Petrelli |
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Pubbl/distr/stampa |
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Santa Barbara, Calif. : , : Greenwood Press, , c2009 |
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New York : , : Bloomsbury Publishing (US), , 2024 |
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ISBN |
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9798400692543 |
9786612363399 |
9781282363397 |
1282363395 |
9780313352768 |
0313352763 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (181 p.) |
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Collana |
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Biographies of disease series |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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History of obesity -- What is obesity? -- What causes obesity? -- Complications of obesity -- Prevention and treatment of obesity -- Economic costs of obesity -- What's next? |
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Sommario/riassunto |
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What makes obesity a disease instead of just a matter of overeating? What are the genetic and environmental factors behind it? What new breakthroughs are being developing to combat it? This concise, information-rich volume looks at these and other important questions, clearing away misconceptions about this devastating condition.||Obesity explains what scientists now know about the causes and consequences of being overweight, including the latest on the links between obesity and heart disease, diabetes, some cancers, asthma, and sleep difficulties. The book pays specific attention to the probl |
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