Rotation numbers for S2 diffeomorphisms

John M Franks*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In these notes we describe the properties of, and generalize, the function R which assigns a number to a 4-tuple of distinct fixed points of an orientation preserving homeomorphism or diffeomorphism of S2.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages101-110
Number of pages10
Volume692
DOIs
StatePublished - Jan 1 2017

Fingerprint

Rotation number
Diffeomorphism
Homeomorphism
Diffeomorphisms
Assign
Fixed point
Distinct
Generalise

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Franks, J. M. (2017). Rotation numbers for S2 diffeomorphisms. In Contemporary Mathematics (Vol. 692, pp. 101-110). American Mathematical Society. https://doi.org/10.1090/conm/692/13913
Franks, John M. / Rotation numbers for S2 diffeomorphisms. Contemporary Mathematics. Vol. 692 American Mathematical Society, 2017. pp. 101-110
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Franks, JM 2017, Rotation numbers for S2 diffeomorphisms. in Contemporary Mathematics. vol. 692, American Mathematical Society, pp. 101-110. https://doi.org/10.1090/conm/692/13913

Rotation numbers for S2 diffeomorphisms. / Franks, John M.

Contemporary Mathematics. Vol. 692 American Mathematical Society, 2017. p. 101-110.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Franks JM. Rotation numbers for S2 diffeomorphisms. In Contemporary Mathematics. Vol. 692. American Mathematical Society. 2017. p. 101-110 https://doi.org/10.1090/conm/692/13913