Donaldson Type Invariants for Algebraic Surfaces [[electronic resource] ] : Transition of Moduli Stacks / / by Takuro Mochizuki

• Autore: Mochizuki Takuro
• 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
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1972