publication . Article . Preprint . 2013

Co-Higgs bundles on P1

Steven Rayan;
  • Published: 27 Nov 2013
Abstract
Comment: 18 pages, 1 table. This version of the paper matches the published version. This version features expanded remarks, corrections, and two new sections on Betti numbers of moduli spaces that do not appear in the original preprint. (References to the original preprint should be unaffected, as all of its results are preserved in the new version.)
Subjects
arXiv: Mathematics::Algebraic GeometryMathematics::Symplectic GeometryHigh Energy Physics::Phenomenology
free text keywords: Mathematics - Algebraic Geometry, Mathematics - Differential Geometry, 14D20, 14H60, 14D22

[1] Beauville, A., Narasimhan, M. S., and Ramanan, S. Spectral curves and the generalized theta divisor. J. Reine Angew. Math. 398 (1989), 169{179.

[2] Bradlow, S. B., Garc a-Prada, O., and Gothen, P. B. What is: : : a Higgs bundle? Notices Amer. Math. Soc. 54, 8 (2007), 980{981. [OpenAIRE]

[3] Donagi, R., and Markman, E. Spectral covers, algebraically completely integrable, Hamiltonian systems, and moduli of bundles. In Integrable Systems and Quantum Groups (Montecatini Terme, 1993), vol. 1620 of Lecture Notes in Math. Springer, Berlin, 1996, pp. 1{119.

[4] Gualtieri, M. Branes on Poisson varieties. In The Many Facets of Geometry: A Tribute to Nigel Hitchin. OUP, Oxford, 2010, pp. 368{394.

[5] Hitchin, N. J. The self-duality equations on a Riemann surface. Proc. London Math. Soc. (3) 55, 1 (1987), 59{126.

[6] Hitchin, N. J. Generalized holomorphic bundles and the B- eld action. arXiv:math/1010.0207v1 [math.DG], 2010. [OpenAIRE]

[7] Hitchin, N. J. Lectures on generalized geometry. arXiv:math/1008.0973v1 [math.DG], 2010. [OpenAIRE]

[8] Narasimhan, M., and Seshadri, C. Stable and unitary vector bundles on a compact Riemann surface. Annals of Maths. 82, 1-3 (1965), 540{567. [OpenAIRE]

[9] Nitsure, N. Moduli space of semistable pairs on a curve. Proc. London Math. Soc. (3) 62, 2 (1991), 275{300. [OpenAIRE]

[10] Simpson, C. T. Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization. J. Amer. Math. Soc. 1, 4 (1988), 867{918.

Mathematical Institute, 24-29 St. Giles', Oxford, UK OX1 3LB.

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publication . Article . Preprint . 2013

Co-Higgs bundles on P1

Steven Rayan;