Kirby calculus
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Kirby calculus — In mathematics, the Kirby calculus in geometric topology is a method for modifying framed links in the 3 sphere using a finite set of moves, the Kirby moves. It is named for Robion Kirby. Using four dimensional Cerf theory, he proved that if M… … Wikipedia
Robion Kirby — Robion Cromwell Kirby (born 1938) is a Professor of Mathematics at the University of California, Berkeley who specializes in low dimensional topology. He coinvented the Kirby–Siebenmann invariant for classifying the PL structures on a topological … Wikipedia
Dehn surgery — In topology, a branch of mathematics, a Dehn surgery, named after Max Dehn, is a specific construction used to modify 3 manifolds. The process takes as input a 3 manifold together with a link. Dehn surgery can be thought of as a two stage process … Wikipedia
4-manifold — In mathematics, 4 manifold is a 4 dimensional topological manifold. A smooth 4 manifold is a 4 manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different.… … Wikipedia
Clasper (mathematics) — In the mathematical field of low dimensional topology, a clasper is a surface (with extra structure) in a 3 manifold on which surgery can be performed. Contents 1 Motivation 2 Definition 3 Clasper calculus … Wikipedia
List of mathematics articles (K) — NOTOC K K approximation of k hitting set K ary tree K core K edge connected graph K equivalence K factor error K finite K function K homology K means algorithm K medoids K minimum spanning tree K Poincaré algebra K Poincaré group K set (geometry) … Wikipedia
Exotic R4 — In mathematics, an exotic R4 is a differentiable manifold that is homeomorphic to the Euclidean space R4, but not diffeomorphic. The first examples were found by Robion Kirby and Michael Freedman, by using the contrast between Freedman s theorems … Wikipedia
Selman Akbulut — is a Turkish mathematician and currently a faculty at Michigan State University. He got his Ph.D. at the University of California, Berkeley in 1975 as student of Robion Kirby. He is a renowned expert on Kirby calculus, low dimensional manifolds… … Wikipedia
Cerf theory — In mathematics, at the junction of singularity theory and differential topology, Cerf theory is the study of families of smooth real valued functions on a smooth manifold M, their generic singularities and the topology of the subspaces these… … Wikipedia
List of geometric topology topics — This is a list of geometric topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of algebraic topology topics Publications in topology Contents 1 Low dimensional topology 1.1 … Wikipedia
