Notes on Seiberg-Witten Theory (Graduate Studies in Mathematics)

Notes on Seiberg-Witten Theory (Graduate Studies in Mathematics)

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Description

In this volume the author presents, in great detail and with many examples, a basic collection of principles, techniques, and applications needed to conduct independent research in gauge theory and its use in geometry and topology. Complete and self-contained computations of the Seiberg-Witten invariants of most simply connected algebraic surfaces using only Witten's factorization method are included. Also given is a new approach to cutting and pasting Seiberg-Witten invariants, which is illustrated by examples such as the connected sum theorem, the blow-up formula, and a proof of a vanishing result of Fintushel and Stern. The book is a suitable textbook for advanced graduate courses in differential geometry, algebraic topology, basic PDEs and functional analysis.

Contents

Preliminaries The Seiberg-Witten invariants Seiberg-Witten equations on complex surfaces Gluing techniques Epilogue Bibliography Index.

Product Details

  • ISBN13: 9780821821459
  • Format: Hardback
  • ID: 9780821821459
  • ISBN10: 0821821458

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