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Differential and Symplectic Topology of Knots and Curves
 
Edited by: S. Tabachnikov University of Arkansas, Fayetteville, AR
Differential and Symplectic Topology of Knots and Curves
Hardcover ISBN:  978-0-8218-1354-6
Product Code:  TRANS2/190
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3401-4
Product Code:  TRANS2/190.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-1354-6
eBook: ISBN:  978-1-4704-3401-4
Product Code:  TRANS2/190.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Differential and Symplectic Topology of Knots and Curves
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Differential and Symplectic Topology of Knots and Curves
Edited by: S. Tabachnikov University of Arkansas, Fayetteville, AR
Hardcover ISBN:  978-0-8218-1354-6
Product Code:  TRANS2/190
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3401-4
Product Code:  TRANS2/190.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-1354-6
eBook ISBN:  978-1-4704-3401-4
Product Code:  TRANS2/190.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1901999; 286 pp
    MSC: Primary 57; Secondary 53

    This book presents a collection of papers on two related topics: topology of knots and knot-like objects (such as curves on surfaces) and topology of Legendrian knots and links in 3-dimensional contact manifolds.

    Featured is the work of international experts in knot theory ("quantum" knot invariants, knot invariants of finite type), in symplectic and contact topology, and in singularity theory. The interplay of diverse methods from these fields makes this volume unique in the study of Legendrian knots and knot-like objects such as wave fronts. A particularly enticing feature of the volume is its international significance. The volume successfully embodies a fine collaborative effort by worldwide experts from Belgium, France, Germany, Israel, Japan, Poland, Russia, Sweden, the U.K., and the U.S.

    Readership

    Graduate students and research mathematicians working in manifolds and cell complexes.

  • Table of Contents
     
     
    • 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 Świa̧tkowski — 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 1901999; 286 pp
MSC: Primary 57; Secondary 53

This book presents a collection of papers on two related topics: topology of knots and knot-like objects (such as curves on surfaces) and topology of Legendrian knots and links in 3-dimensional contact manifolds.

Featured is the work of international experts in knot theory ("quantum" knot invariants, knot invariants of finite type), in symplectic and contact topology, and in singularity theory. The interplay of diverse methods from these fields makes this volume unique in the study of Legendrian knots and knot-like objects such as wave fronts. A particularly enticing feature of the volume is its international significance. The volume successfully embodies a fine collaborative effort by worldwide experts from Belgium, France, Germany, Israel, Japan, Poland, Russia, Sweden, the U.K., and the U.S.

Readership

Graduate students and research mathematicians working in manifolds and cell complexes.

  • 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 Świa̧tkowski — 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.