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
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© 2001 Springer-Verlag Berlin Heidelberg
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(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
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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
