Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks - Couverture souple

Mochizuki, Takuro

9783540939122: Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks

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ISBN 10 : 3540939121 ISBN 13 : 9783540939122

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This text defines and studies an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized surface. The goal is to obtain a weaker version of the relations among the invariants.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

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Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2009
Langue: anglais
ISBN 10: 3540939121
ISBN 13: 9783540939122
Reliure: Broch�
Nombre de pages: 416
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Poststr. 9
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64293
Allemagne

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Lecture Notes in Mathematics: Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks (Volume 1972)

Mochizuki, Takuro

Edit� par Springer, 2009

ISBN 10 : 3540939121 ISBN 13 : 9783540939122

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Etat : Good. Volume 1972. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9783540939122. N� de r�f. du vendeur 5780271

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Donaldson Type Invariants for Algebraic Surfaces (eng)

Mochizuki, Takuro

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Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks (Lecture Notes in Mathematics, 1972)

Mochizuki, Takuro

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ISBN 10 : 3540939121 ISBN 13 : 9783540939122

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Donaldson Type Invariants for Algebraic Surfaces : Transition of Moduli Stacks

Mochizuki, Takuro

Edit� par Springer 2009-03, 2009

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Donaldson Type Invariants for Algebraic Surfaces

Takuro Mochizuki

Edit� par Springer Berlin Heidelberg Mrz 2009, 2009

ISBN 10 : 3540939121 ISBN 13 : 9783540939122

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this monograph, we de ne and investigate an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. We may expect the existence of interesting 'universal relations among invariants', which would be a natural generalization of the 'wall-crossing formula' and the 'Witten conjecture' for classical Donaldson invariants. Our goal is to obtain a weaker version of such relations, in other brief words, to describe a relation as the sum of integrals over the products of m- uli spaces of objects with lower ranks. Fortunately, according to a recent excellent work of L. Gottsche, H. Nakajima and K. Yoshioka, [53], a wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case. We hope that our work in this monograph would, at least tentatively, provides a part of foundation for the further study on such universal relations. In the rest of this preface, we would like to explain our motivation and some of important ingredients of this study. See Introduction for our actual problems and results. Donaldson Invariants Let us brie y recall Donaldson invariants. We refer to [22] for more details and precise. We also refer to [37], [39], [51] and [53]. LetX be a compact simply con- nected oriented real 4-dimensional C -manifold with a Riemannian metric g. Let P be a principalSO(3)-bundle on X. 416 pp. Englisch. N� de r�f. du vendeur 9783540939122

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Donaldson Type Invariants for Algebraic Surfaces

Takuro Mochizuki

Edit� par Springer Berlin Heidelberg, 2009

ISBN 10 : 3540939121 ISBN 13 : 9783540939122

Neuf Couverture souple

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasIn this monograph, we de?ne and investigate an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. W. N� de r�f. du vendeur 4902289

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Donaldson Type Invariants for Algebraic Surfaces

Takuro Mochizuki

Edit� par Springer, Springer Vieweg M�r 2009, 2009

ISBN 10 : 3540939121 ISBN 13 : 9783540939122

Neuf Taschenbuch

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this monograph, we de ne and investigate an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. We may expect the existence of interesting �universal relations among invariants�, which would be a natural generalization of the �wall-crossing formul� and the �Witten conjecture� for classical Donaldson invariants. Our goal is to obtain a weaker version of such relations, in other brief words, to describe a relation as the sum of integrals over the products of m- uli spaces of objects with lower ranks. Fortunately, according to a recent excellent work of L. Gottsche, � H. Nakajima and K. Yoshioka, [53], a wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case. We hope that our work in this monograph would, at least tentatively, provides a part of foundation for the further study on such universal relations. In the rest of this preface, we would like to explain our motivation and some of important ingredients of this study. See Introduction for our actual problems and results. Donaldson Invariants Let us brie y recall Donaldson invariants. We refer to [22] for more details and precise. We also refer to [37], [39], [51] and [53]. LetX be a compact simply con- nected oriented real 4-dimensional C -manifold with a Riemannian metric g. Let P be a principalSO(3)-bundle on X.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 416 pp. Englisch. N� de r�f. du vendeur 9783540939122

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Donaldson Type Invariants for Algebraic Surfaces : Transition of Moduli Stacks

Takuro Mochizuki

Edit� par Springer, Springer Vieweg, 2009

ISBN 10 : 3540939121 ISBN 13 : 9783540939122

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In this monograph, we de ne and investigate an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. We may expect the existence of interesting 'universal relations among invariants', which would be a natural generalization of the 'wall-crossing formula' and the 'Witten conjecture' for classical Donaldson invariants. Our goal is to obtain a weaker version of such relations, in other brief words, to describe a relation as the sum of integrals over the products of m- uli spaces of objects with lower ranks. Fortunately, according to a recent excellent work of L. Gottsche, H. Nakajima and K. Yoshioka, [53], a wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case. We hope that our work in this monograph would, at least tentatively, provides a part of foundation for the further study on such universal relations. In the rest of this preface, we would like to explain our motivation and some of important ingredients of this study. See Introduction for our actual problems and results. Donaldson Invariants Let us brie y recall Donaldson invariants. We refer to [22] for more details and precise. We also refer to [37], [39], [51] and [53]. LetX be a compact simply con- nected oriented real 4-dimensional C -manifold with a Riemannian metric g. Let P be a principalSO(3)-bundle on X. N� de r�f. du vendeur 9783540939122

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