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Signatures In Algebra, Topology, And Dynamics.pdf

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Preview of Signatures in Algebra, Topology, and Dynamics
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📊 Size: 13.76 MB
📄 Pages: 173 pages
⬇️ Downloads: 60

Summary

- Title: Signatures in algebra, topology and dynamics
- Authors: Étienne Ghys, Andrew Ranicki
- Publication: Ensaios Matemáticos, 2016, Volume 30, 1–173
- Topics: Quadratic forms, their signatures, and applications in algebra, topology, dynamics, and number theory.
- Key Points:
- Algebra (Chapters 2 & Appendix): Discusses linear congruence, matrix signatures, tridiagonal matrices, continued fractions, Sturm's theorem, Witt groups, and algebraic L-theory.
- Topology (Chapter 3): Covers even and odd-dimensional manifolds, cobordism, Novikov additivity, Wall nonadditivity, and plumbing.
- Knots & Dynamics (Chapters 4 & 6): Explores signatures of knots, braids, and their connections to dynamics and number theory.
- Symplectic Group & Maslov Class (Chapter 5): Discusses the Maslov class, its bounded cohomology, and its relation to the symplectic group.
- Mathematics Subject Classification: 10C05, 37J05, 57R19.

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Description

The theory of quadratic forms developed in the 19th and early 20th centuries is described, followed by applications to topology, dynamics, and number theory.

Technical Information

  • File Format: PDF
  • File Size: 13.76 MB
  • Pages: 173
  • Language: EN
  • Total Downloads: 60
  • Last Updated: 1 week ago

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This PDF document about Signatures in Algebra, Topology, and Dynamics provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Signatures in Algebra, Topology, and Dynamics.

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