000			01899nam a2200217 4500
005			20190305162402.0
008			190115b xxu||||| |||| 00| 0 eng d
020			_a8185931224
040			_cIIT Kanpur
041			_aeng
082			_a514.72 _bM333s
100			_aMarcolli, Matilde
245			_aSeiberg Witten gauge theory _cMatilde Marcolli
260			_aNew Delhi _bHindustan Book Agency _c1999
300			_avii, 228p
440			_aTexts and readings in mathematics
490			_a / edited by V. S. Borkar; v.17
520			_aThe 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. The first part of the book collects some preliminary notions and then gives an introduction of Seiberg-Witten theory of four- dimensional manifolds. In the second part, the author introduces the dimensional reduction and uses it to describe Seiberg-Witten in three-dimensional manifolds. In both parts, the Seiberg-Witten equations are derived, the moduli spaces of solutions are constructed, and the corresponding invariants of manifolds are introduced. In the third part, the author gives an overview of geometric and topological results obtained via Seiberg-Witten theory. Through all these parts of the book, Seiberg-Witten gauge theory is considered as a completely self-contained subject and no a priori knowledge of Donaldson theory is assumed. In fact, all the sections that refer to Donaldson theory can be skipped, and this will not affect the comprehension of the remaining sections. In the final part of the book, the author describes physical theories that are responsible for the emergence of this new piece of mathematics, the Seiberg-Witten theory.
650			_aGauge theory
942			_cBK
999			_c560084 _d560084