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Gauge theoretical Gromov-Witten invariants and virtual fundamental classes


Okonek, C; Teleman, A (2004). Gauge theoretical Gromov-Witten invariants and virtual fundamental classes. In: Collino, A. The Fano Conference. Turin: Università di Torino, 591-623.

Abstract

This article is an expanded version of talks which the authors have given in Oberwolfach, Bochum, and at the Fano Conference in Torino. In these talks we explained the main results of our papers "Gauge theoretical equivariant Gromov-Witten invariants and the full Seiberg-Witten invariants of ruled surfaces" and "Comparing virtual fundamental classes: Gauge theoretical Gromov-Witten invariants for toric varieties". We have also included new results, e. g. the material concerning flag varieties, Quot spaces over P1, and the generalized quiver representations. The common theme is the construction of gauge theoretical Gromov- Witten type invariants of arbitrary genus associated with certain symplec- tic factorization problems with additional symmetry, and the computation of these invariants in terms of complex geometric objects.

Abstract

This article is an expanded version of talks which the authors have given in Oberwolfach, Bochum, and at the Fano Conference in Torino. In these talks we explained the main results of our papers "Gauge theoretical equivariant Gromov-Witten invariants and the full Seiberg-Witten invariants of ruled surfaces" and "Comparing virtual fundamental classes: Gauge theoretical Gromov-Witten invariants for toric varieties". We have also included new results, e. g. the material concerning flag varieties, Quot spaces over P1, and the generalized quiver representations. The common theme is the construction of gauge theoretical Gromov- Witten type invariants of arbitrary genus associated with certain symplec- tic factorization problems with additional symmetry, and the computation of these invariants in terms of complex geometric objects.

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Additional indexing

Other titles:Proceedings of the conference to commemorate the 50th anniversary of the death of Gino Fano (1871–1952) held in Torino, September 29–October 5, 2002
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2004
Deposited On:29 Nov 2010 16:26
Last Modified:06 Dec 2017 20:48
Publisher:Università di Torino
ISBN:88-900876-1-7
Free access at:Related URL. An embargo period may apply.
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1086.53105
http://www.ams.org/mathscinet-getitem?mr=2112594

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