Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles
Boundary of the moduli space of instanton bundles on projective space
Vector bundles: from the instanton family to a new regularity
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083970 Campinas, SP - Brazil
[2] GU HSE, Lab Algebra Geometry, Moscow 117312 - Russia
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | ADVANCES IN MATHEMATICS; v. 227, n. 4, p. 1526-1538, JUL 10 2011. |
| Web of Science Citations: | 4 |
| Abstract | |
We show that the moduli space M of framed instanton bundles on CP(3) is isomorphic (as a complex manifold) to a subvariety in the moduli of rational curves of the twistor space of the moduli space of framed instantons on R(4). We then use this characterization to prove that M is equipped with a torsion-free affine connection with holonomy in Sp(2n, C). (C) 2011 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 05/04558-0 - Symmetries in geometry, topology and mathematical physics |
| Grantee: | Alcibiades Rigas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 09/12576-9 - Geometry of hyperkähler structures |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |