Skip to main content

Global analysis of the Seiberg-Witten equations

  • Chapter
  • 1300 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1629)

Abstract

As we have seen, the theory of linear partial differential equations—in particular, the Atiyah-Singer index theorem— yields topological invariants which have striking geometric applications. We now investigate more refined invariants constructed with nonlinear partial differential equations, invariants that are not available from the linear theory.

Keywords

  • Modulus Space
  • Line Bundle
  • Dirac Operator
  • Canonical Bundle
  • Positive Scalar Curvature

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   44.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and Permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2001). Global analysis of the Seiberg-Witten equations. In: Lectures on Seiberg-Witten Invariants. Lecture Notes in Mathematics, vol 1629. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40952-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-40952-6_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41221-2

  • Online ISBN: 978-3-540-40952-6

  • eBook Packages: Springer Book Archive