Knots, Links, Spatial Graphs, and Algebraic Invariants

Knots, Links, Spatial Graphs, and Algebraic Invariants

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This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 24-25, 2015, at California State University, Fullerton, CA.

Included in this volume are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams that are preserved under a set of Reidemeister-type moves.

The interconnections of these areas and their connections within the broader field of topology are illustrated by articles about knots and links in spatial graphs and symmetries of spatial graphs in $S^3$ and other 3-manifolds.
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Product details

  • Paperback | 197 pages
  • 178 x 254mm | 503g
  • Providence, United States
  • English
  • 1470428474
  • 9781470428471
  • 2,175,618

Table of contents

J. H. Przytycki, The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming
M. Elhamdadi and J. Kerr, Linear Alexander quandle colorings and the minimum number of colors
W. E. Clark and M. Saito, Quandle identities and homology
E. Denne, M. Kamp, R. Terry, and X. Zhu, Ribbonlength of folded ribbon unknots in the plane
H. A. Dye, Checkerboard framings and states of virtual link diagrams
M. Chrisman and A. Kaestner, Virtual covers of links II
E. Flapan, T. W. Mattman, B. Mellor, R. Naimi, and R. Nikkuni, Recent developments in spatial graph theory
T. W. Mattman, C. Morris, and J. Ryker, Order nine MMIK graphs
A. Kawauchi, A chord graph constructed from a ribbon surface-link
T. W. Mattman and M. Pierce, The $K_{n+5}$ and $K_{3^2,1^n}$ families and obstructions to $n$-apex
A. Ishii and S. Nelson, Partially multiplicative biquandles and handlebody-knots
A. Henrich and L. H. Kauffman, Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs.
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About Erica Flapan

Erica Flapan, Pomona College, Claremont, CA.

Allison Henrich, Seattle University, WA.

Aaron Kaestner, North Park University, Chicago, IL.

Sam Nelson, Claremont McKenna College, CA.
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