Signatures in algebra, topology and dynamics

Etienne Ghys; Andrew Ranicki

Signatures in algebra, topology and dynamics

Algebraic Topology 2016-09-15 v2 Dynamical Systems Geometric Topology

Authors: Etienne Ghys , Andrew Ranicki

Abstract

We survey the 19th century development of the signature of a quadratic form, and the applications in the 20th and 21st century to the topology of manifolds and dynamical systems. Version 2 is an expanded and corrected version of Version 1, including an Appendix by the second named author "Algebraic L-theory of rings with involution and the localization exact sequence".

Keywords

quadratic form signature manifold topology dynamical systems algebraic L-theory rings with involution localization exact sequence signature invariant

Cite

@article{arxiv.1512.09258,
  title  = {Signatures in algebra, topology and dynamics},
  author = {Etienne Ghys and Andrew Ranicki},
  journal= {arXiv preprint arXiv:1512.09258},
  year   = {2016}
}

Comments

Published in Ensaios Matematicos "Six papers on signatures, braids and Seifert surfaces" http://ensaios.sbm.org.br/contents/

Signatures in algebra, topology and dynamics

Abstract

Keywords

Cite

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