Donaldson type invariants for algebraic surfaces : transition of moduli stacks
We are defining and studying an algebro-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 for...
Sábháilte in:
| Príomhchruthaitheoir: | |
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| Formáid: | Livre numérique |
| Teanga: | Anglais |
| Foilsithe / Cruthaithe: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Eagrán: | 1st ed. 2009. |
| Sraith: | Lecture Notes in Mathematics
1972 |
| Ábhair: | |
| Rochtain ar líne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nóta: |
Description d'apès consultation du 18 octobre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Donaldson type invariants for algebraic surfaces, transition of moduli stacks, Takuro Mochizuki, 2009, Berlin, Springer, 1 volume (XXIII-383 pages), Lecture notes in mathematics, 978-3-540-93912-2 • Donaldson Type Invariants for Algebraic Surfaces, Texte imprimé, 9783540939740 • Donaldson type invariants for algebraic surfaces, transition of moduli stacks, Takuro Mochizuki, 2009, Berlin, Springer, 1 volume (XXIII-383 pages), Lecture notes in mathematics, 978-3-540-93912-2 |
| Achoimre: | We are defining and studying an algebro-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! |
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| Cur síos ar an mír: | Description d'apès consultation du 18 octobre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540939139 |
| ISSN: | 1617-9692 |
| Rochtain: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |