Special Issue on Applications of Seiberg-Witten Equations to the Topology of Smooth Manifolds

Submission Deadline: Jul. 30, 2017

  • Special Issue Editor
    • Serhan Eker
      Department of Mathematics, Faculty of Sciences and Arts, Ağrı İbrahim Çeçen University, Ağrı, Turkey

    Guest Editor

  • Introduction

    Seiberg−Witten theory has played an important role in the topology of 4−manifolds. Seiberg−Witten equations consists of two equations, curvature equation and Dirac equation. Dirac equation can be written down on any Spinc manifold of any dimension. Due to the self−duality of a 2−form, the curvature equation is special to 4−dimensional manifolds. There are some generalizations of these equations to higher dimensional manifolds. All of them are mainly based on the generalized self−duality of a 2−form . Since any almost hermitian manifold has a canonical Spinc−structure which is determined by its almost hermitian structure, a fundemantal role is played by the almost hermitian manifold. As in almost hermitian manifolds, every contact metric manifold can be equipped with the canonical Spinc−structure determined by the almost complex structure on the contact distribution. Also, on these manifolds, one can described a spinor bundle. Therefore, for a given canonical Spinc−structure on the contact metric manifold, a spinorial connection can be defined on the associated spinor bundle by means of the generalized Tanaka−Webster connection . The Dirac operator is associated to a such connection. The curvature equation which couples the self−dual part of the curvature 2−form with a spinor field.

    Aims and Scope
    Defining Seiberg-Witten equation on n-dimensional manifold
    Giving global solution to these equations
    Obtaining differential topological invariants for smooth-manifolds via the solution space of these equations

  • Guidelines for Submission

    Manuscripts can be submitted until the expiry of the deadline. Submissions must be previously unpublished and may not be under consideration elsewhere.

    Papers should be formatted according to the guidelines for authors (see: http://www.ijmathphy.org/submission). By submitting your manuscripts to the special issue, you are acknowledging that you accept the rules established for publication of manuscripts, including agreement to pay the Article Processing Charges for the manuscripts. Manuscripts should be submitted electronically through the online manuscript submission system at http://www.sciencepublishinggroup.com/login. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal and will be listed together on the special issue website.

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