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Autore: |
Mochizuki Takuro
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Titolo: |
Donaldson Type Invariants for Algebraic Surfaces [[electronic resource] ] : Transition of Moduli Stacks / / by Takuro Mochizuki
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Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
Edizione: | 1st ed. 2009. |
Descrizione fisica: | 1 online resource (XXIII, 383 p.) |
Disciplina: | 516.35 |
Soggetto topico: | Algebraic geometry |
Algebraic Geometry | |
Classificazione: | 14D2014J6014J80 |
MAT 142f | |
MAT 146f | |
SI 850 | |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references (p. 341-345) and index. |
Nota di contenuto: | Preliminaries -- Parabolic L-Bradlow Pairs -- Geometric Invariant Theory and Enhanced Master Space -- Obstruction Theories of Moduli Stacks and Master Spaces -- Virtual Fundamental Classes -- Invariants. |
Sommario/riassunto: | We are defining and studying an algebra-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing formula" and the "Witten conjecture" for classical Donaldson invariants. Our goal is to obtain a weaker version of these relations, by systematically using the intrinsic smoothness of moduli spaces. According to the recent excellent work of L. Goettsche, H. Nakajima and K. Yoshioka, the wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case! |
Titolo autorizzato: | Donaldson type invariants for algebraic surfaces ![]() |
ISBN: | 3-540-93913-X |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466482703316 |
Lo trovi qui: | Univ. di Salerno |
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