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Differential and Symplectic Topology of Knots and Curves
About this Title
S. Tabachnikov, University of Arkansas, Fayetteville, AR, Editor
Publication: American Mathematical Society Translations: Series 2
Publication Year:
1999; Volume 190
ISBNs: 978-0-8218-1354-6 (print); 978-1-4704-3401-4 (online)
DOI: https://doi.org/10.1090/trans2/190
MathSciNet review: MR1738386
MSC: Primary 57-06
ReadershipTable of Contents
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Front/Back Matter
Chapters
- Juan Carlos Álvarez Paiva – Contact topology, taut immersions, and Hilbert’s fourth problem
- Emmanuel Ferrand – On Legendre cobordisms
- Victor Goryunov – Vassiliev invariants of knots in $\mathbb {R}^3$ and in a solid torus
- Tadeusz Januszkiewicz and Jacek Światkowski – Finite type invariants of generic immersions of $M^n$ into $\mathbb {R}^{2n}$ are trivial
- Sergei K. Lando – On enumeration of unicursal curves
- Alexander B. Merkov – Vassiliev invariants classify flat braids
- Michael Polyak – New Whitney-type formulas for plane curves
- Boris Shapiro – Tree-like curves and their number of inflection points
- Serge Tabachnikov – Geometry of exact transverse line fields and projective billiards
- Vladimir Tchernov – Shadows of wave fronts and Arnold-Bennequin type invariants of fronts on surfaces and orbifolds
- Masaaki Umehara – A unified approach to the four vertex theorems. I
- Gudlaugur Thorbergsson and Masaaki Umehara – A unified approach to the four vertex theorems. II
- Victor A. Vassiliev – Topology of two-connected graphs and homology of spaces of knots