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Seiberg-Witten Gauge Theory by Matilde Marcolli

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Published by Hindustan Book Agency .
Written in English


  • Calculus & mathematical analysis,
  • Geometry,
  • Particle & high-energy physics,
  • Mathematics,
  • Science/Mathematics,
  • MAT028000,
  • MAT,
  • Set Theory

Book details:

The Physical Object
Number of Pages236
ID Numbers
Open LibraryOL9092425M
ISBN 108185931224
ISBN 109788185931227

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Additional Physical Format: Online version: Marcolli, Matilde. Seiberg-Witten gauge theory. New Delhi: Hindustan Book Agency, © (OCoLC) Seiberg-Witten Gauge Theory. Authors (view affiliations) Matilde Marcolli; Book. 4 Search within book. Front Matter. Pages i-vii. PDF. Introduction. Matilde Marcolli. Topology and Geometry. Matilde Marcolli. Pages Seiberg—Witten and Physics. Matilde Marcolli. Pages Appendix: a bibliographical guide. Erion J. Clark. In mathematics, Seiberg–Witten invariants are invariants of compact smooth oriented 4-manifolds introduced by Edward Witten (), using the Seiberg–Witten theory studied by Nathan Seiberg and Witten (a, b) during their investigations of Seiberg–Witten gauge theory. Seiberg–Witten invariants are similar to Donaldson invariants and can be used to prove similar (but sometimes. It is the most comprehensive book available for Seiberg-Witten theory on $4$-manifolds, but I think all the details and complicated analysis would overwhelm anyone who is just learning the material for the first time. I would also avoid Marcolli's Seiberg-Witten Gauge Theory, as it covers the prerequisite material you are having a hard time.

An introduction to the Seiberg-Witten equations on symplectic manifolds∗ Michael Hutchings and Clifford Henry Taubes† Summer The Seiberg-Witten equations are defined on any smooth 4-manifold. By appropriately counting the solutions to the equations, one obtains smooth 4-manifold invariants. On a symplectic 4-manifold, these.   The newly developed field of Seiberg-Witten gauge theory has become a well-established part of the differential topology of four-manifolds and three-manifolds. This book offers an introduction and an up-to-date review of the state of current research. show more. Product : Matilde Marcolli. i.e. the solutions of the Seiberg-Witten equations and the group of gauge transformations, an inflnite dimensional Abelian group acting on the set of monopoles. The Seiberg-Witten moduli space and its structure are described in Section while the Seiberg-Witten invariants are presented in Section. Get this from a library! Notes on Seiberg-Witten theory. [Liviu I Nicolaescu] -- After background on elliptic equations, Clifford algebras, Dirac operators, and Fredholm theory, chapters introduce solutions of the Seiberg-Witten equations and the group of gauge transformations.

Abstract. In this chapter we discuss a certain unified approach to different problems arising in Gauge Theory. The approach we present is well known in Theoretical Physics where most of the gauge theoretic problems originated and where they can be formulated in terms of Author: Matilde Marcolli. Seminar on Seiberg-Witten Theory. This is the webpage of the student learning seminar on Seiberg-Witten theory. The current version of the website design is stolen from the Remynar.. For the first lectures, we will set up the basics of the Seiberg-Witten theory following Morgan's book [M]. (10/12) Completed the proof that the moduli space of Seiberg-Witten solutions (modulo gauge transformations) on a closed 4-manifold is compact. (If I recall correctly, the full details of this are in John Morgan's book on Seiberg-Witten theory.) (10/14) Smoothness of the moduli space of solutions to the perturbed equations for generic. The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU (2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of Released on: Decem