Research Article
BibTex RIS Cite

THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION

Year 2017, Volume: 5 Issue: 1, 187 - 192, 03.04.2017

Abstract

Seiberg-Witten equations which are formed by Dirac equation and Curvature-equation, have some generalizations on 8􀀀dimensional manifold [1, 3, 5]. In this paper we consider the $Spin^c$-structure which was given in [1]. Then by using this $Spin^c$-structure, we examine the curvature equations which were given in [1, 3]. Finally we show the equivalence between them.

References

  • [1] A.H. Bilge, T. Dereli and S. Kocak, Monopole equations on 8􀀀manifolds with Spin(7) holonomy, Commun. Math. Phys. Vol:203, No.1 (1999), 21-30.
  • [2] Salamon, D., Spin geometry and Seiberg-Witten invariants, Preprint.
  • [3] N. Degirmenci and N.  Ozdemir, Seiberg-Witten like equations on 8-manifold with Structure Group Spin(7), Journal of Dynamical Systems and Geometric Theories Vol:7, No:1 (2009), 21-39.
  • [4] Friedrich T., Dirac operators in Riemannian geometry, Graduate Studies in Mathematics, American Mathematical Society, Providence, Rhlode Island, 25; 2000.
  • [5] Gao YH., Tian G., Instantons and the monopole-like equations in eight dimensions, J High Energy Phys 2000; 5 : 036.
  • [6] Witten, E., Monopoles and four manifolds, Math Res Lett 1994; 1 : 769-796.
Year 2017, Volume: 5 Issue: 1, 187 - 192, 03.04.2017

Abstract

References

  • [1] A.H. Bilge, T. Dereli and S. Kocak, Monopole equations on 8􀀀manifolds with Spin(7) holonomy, Commun. Math. Phys. Vol:203, No.1 (1999), 21-30.
  • [2] Salamon, D., Spin geometry and Seiberg-Witten invariants, Preprint.
  • [3] N. Degirmenci and N.  Ozdemir, Seiberg-Witten like equations on 8-manifold with Structure Group Spin(7), Journal of Dynamical Systems and Geometric Theories Vol:7, No:1 (2009), 21-39.
  • [4] Friedrich T., Dirac operators in Riemannian geometry, Graduate Studies in Mathematics, American Mathematical Society, Providence, Rhlode Island, 25; 2000.
  • [5] Gao YH., Tian G., Instantons and the monopole-like equations in eight dimensions, J High Energy Phys 2000; 5 : 036.
  • [6] Witten, E., Monopoles and four manifolds, Math Res Lett 1994; 1 : 769-796.
There are 6 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

SERHAN Eker

Publication Date April 3, 2017
Submission Date April 1, 2017
Acceptance Date February 8, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Eker, S. (2017). THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION. Konuralp Journal of Mathematics, 5(1), 187-192.
AMA Eker S. THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION. Konuralp J. Math. April 2017;5(1):187-192.
Chicago Eker, SERHAN. “THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION”. Konuralp Journal of Mathematics 5, no. 1 (April 2017): 187-92.
EndNote Eker S (April 1, 2017) THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION. Konuralp Journal of Mathematics 5 1 187–192.
IEEE S. Eker, “THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION”, Konuralp J. Math., vol. 5, no. 1, pp. 187–192, 2017.
ISNAD Eker, SERHAN. “THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION”. Konuralp Journal of Mathematics 5/1 (April 2017), 187-192.
JAMA Eker S. THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION. Konuralp J. Math. 2017;5:187–192.
MLA Eker, SERHAN. “THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION”. Konuralp Journal of Mathematics, vol. 5, no. 1, 2017, pp. 187-92.
Vancouver Eker S. THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION. Konuralp J. Math. 2017;5(1):187-92.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.