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...
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| Tác giả chính: | |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2009. |
| Loạt: | Lecture Notes in Mathematics
1972 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
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 |
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| 100 | 1 | |a Mochizuki, Takuro, |d 1972- | |
| 245 | 1 | 0 | |a Donaldson type invariants for algebraic surfaces : |b transition of moduli stacks |c Takuro Mochizuki. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1972 |x 1617-9692 | |
| 500 | |a Description d'apès consultation du 18 octobre 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preliminaries Parabolic L-Bradlow Pairs Geometric Invariant Theory and Enhanced Master Space Obstruction Theories of Moduli Stacks and Master Spaces Virtual Fundamental Classes Invariants. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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! | ||
| 650 | |a Modules (algèbre) | ||
| 650 | |a Topologie | ||
| 650 | |a Espaces fibrés (mathématiques) | ||
| 776 | 0 | |0 132773600 |t Donaldson type invariants for algebraic surfaces |o transition of moduli stacks |f Takuro Mochizuki |d 2009 |c Berlin |n Springer |p 1 volume (XXIII-383 pages) |s Lecture notes in mathematics |z 978-3-540-93912-2 | |
| 776 | 0 | |t Donaldson Type Invariants for Algebraic Surfaces |b Texte imprimé |z 9783540939740 | |
| 776 | 0 | |0 132773600 |t Donaldson type invariants for algebraic surfaces |o transition of moduli stacks |f Takuro Mochizuki |d 2009 |c Berlin |n Springer |p 1 volume (XXIII-383 pages) |s Lecture notes in mathematics |z 978-3-540-93912-2 | |
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