Open Access

Seiberg-Witten Equations on Pseudo-Riemannian Spinc Manifolds With Neutral Signature

[1] Akbulut S., Lecture Notes on Seiberg-Witten Invariants, Turkish Journal of Mathematics, 20 (1996), 95-118.Search in Google Scholar

[2] Davidov J., Grantcharov G., Mushkarov O., Geometry of Neutral Metricin Dimension Four, arXiv:0804.2132v1.Search in Google Scholar

[3] Değirmenci N., Özdemir N., Seiberg-Witten Equations on Lorentzianspinc manifolds, International Journal of Geometric Methods in Modern Physics, 8(4), 2011.Search in Google Scholar

[4] Dunajki, M., West, S., Anti-Self-Dual Conformal Structures in NeutralSignature, arXiv.math/0610280v4.Search in Google Scholar

[5] Friedrich T., Dirac Operators in Riemannian Geometry, American Mathematical Society, 2000. 10.1090/gsm/025Search in Google Scholar

[6] Harvey F.R., Spinors and Calibrations, Academic Press, 1990.Search in Google Scholar

[7] Ikemakhen A., Parallel Spinors on Pseudo-Riemannian Spinc Manifolds, Journal of Geometry and Physics 9, 1473-1483, 2006.10.1016/j.geomphys.2005.07.005Search in Google Scholar

[8] Kamada H., Machida Y., Self-Duality of Metrics of type (2; 2) on fourdimensional manifolds, ToHoku Math. J. 49 , 259-275, 1997.10.2748/tmj/1178225150Search in Google Scholar

[9] Lawson B., Michelson M.L., Spin Geometry, Princeton University Press, 1989.Search in Google Scholar

[10] Matsushita Y., Law P., Hitchin-Thorpe-Type Inequalities for Pseudo-Riemannian 4−Manifolds of Metric Signature (+ + −−), Geometriae Dedicata 87, 65-89, 2001.10.1023/A:1012002211862Search in Google Scholar

[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. 10.1142/9789812701763_0019Search in Google Scholar

[12] Morgan J., Seiberg-Witten Equations And Applications To The Topologyof Smooth Manifolds, Princeton University Press, 1996.10.1515/9781400865161Search in Google Scholar

[13] Moore J., Lecture Notes on Seiberg-Witten Invariants, Springer-Verlag, 1996.10.1007/BFb0092948Search in Google Scholar

[14] Naber G.L., Topology, Geometry, and Gauge Fields, (Interactions), Springer-Verlag, 2011.10.1007/978-1-4419-7895-0Search in Google Scholar

[15] Salamon D., Spin Geometry and Seiberg-Witten Invariants, 1996 (preprint).Search in Google Scholar

[16] Witten E., Monopoles and Four Manifolds, Math. Research Letters, 1994. 10.4310/MRL.1994.v1.n6.a13Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics