Title   name
2012 KAIST Mathh Colloquium
  Speaker   Thomas Fiedler    
  Date 2012-02-17
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
Abstract : Braids are beautiful objects in low dimensional topology. They can be seen likewise as tangles in the 3-ball or as elements of the mapping class group of the punctured disc or as automorphisms of free groups.We start by recalling the construction of the HOMFLYPT invariant for tangles , the Niesen-Thurston classification of diffeomorphisms of the punctured disc and the growth rate of automorphisms of free groups.
We present then our machinery for constructing 1-cocycles which produce HOMFLYPT invariants for 1-parameter families of tangles. It turns out that they contain information about the geometry of braids. There will be lots of examples in the talk.