Seiberg-Witten Equations on Pseudo-Riemannian Spinc Manifolds With Neutral Signature
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- [1] Akbulut S., Lecture Notes on Seiberg-Witten Invariants, Turkish Journal of Mathematics, 20 (1996), 95-118.
- [2] Davidov J., Grantcharov G., Mushkarov O., Geometry of Neutral Metricin Dimension Four, arXiv:0804.2132v1.
- [3] Değirmenci N., Özdemir N., Seiberg-Witten Equations on Lorentzianspinc manifolds, International Journal of Geometric Methods in Modern Physics, 8(4), 2011.
- [4] Dunajki, M., West, S., Anti-Self-Dual Conformal Structures in NeutralSignature, arXiv.math/0610280v4.
- [5] Friedrich T., Dirac Operators in Riemannian Geometry, American Mathematical Society, 2000.
- [6] Harvey F.R., Spinors and Calibrations, Academic Press, 1990.
- [7] Ikemakhen A., Parallel Spinors on Pseudo-Riemannian Spinc Manifolds, Journal of Geometry and Physics 9, 1473-1483, 2006.
- [8] Kamada H., Machida Y., Self-Duality of Metrics of type (2; 2) on fourdimensional manifolds, ToHoku Math. J. 49 , 259-275, 1997.
- [9] Lawson B., Michelson M.L., Spin Geometry, Princeton University Press, 1989.
- [10] Matsushita Y., Law P., Hitchin-Thorpe-Type Inequalities for Pseudo-Riemannian 4−Manifolds of Metric Signature (+ + −−), Geometriae Dedicata 87, 65-89, 2001.
- [11] Matsushita Y., The existence of indefinite metrics of signature (+;+;−;−) and two kinds of almost complex structures in dimensionFour, Proceedings of The Seventh International Workshop on Complex Structures and Vector Fields, Contemporary Aspects of Complex Analysis, Differential Geometry and Mathematical Physics, ed. S. Dimiev and K. Sekigawa, World Scientific, 210-225, 2005.
- [12] Morgan J., Seiberg-Witten Equations And Applications To The Topologyof Smooth Manifolds, Princeton University Press, 1996.
- [13] Moore J., Lecture Notes on Seiberg-Witten Invariants, Springer-Verlag, 1996.
- [14] Naber G.L., Topology, Geometry, and Gauge Fields, (Interactions), Springer-Verlag, 2011.
- [15] Salamon D., Spin Geometry and Seiberg-Witten Invariants, 1996 (preprint).
- [16] Witten E., Monopoles and Four Manifolds, Math. Research Letters, 1994.
Language: English
Page range: 73 - 88
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2013 Nedim Değirmenci, Şenay Karapazar, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.