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X-WR-CALNAME:Krzysztof Putyra: \"Cobordisms with chronology and a functo
 rial description of odd link homology\"
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DURATION:PT1H
LOCATION:Math 520\, Columbia University
DTSTAMP:20080911T223827Z
UID:BF5BB738-1858-4442-8427-F49E9065F412
SEQUENCE:6
URL;VALUE=URI:http://math.columbia.edu/~lipshitz/SGGT/
DTSTART;TZID=America/New_York:20080926T130000
SUMMARY:Krzysztof Putyra: \"Cobordisms with chronology and a functorial 
 description of odd link homology\"
DESCRIPTION:Abstract: I will enrich cobordisms with special projections 
 on the closed interval I=[0\; 1] to break the symmetry of oriented cobor
 disms. This creates a new category\, which in case of dimension two has 
 a nice presentation by generators and relations. This category can be us
 ed to give a functorial description of the construction of odd link homo
 logy as well as to define a new type of TQFT's.\n\n\nI will build the Kh
 ovanov complex Kh(T) for a given tangle diagram in the category of cobor
 disms with chronology. It is invariant under Reidemeister moves up to ch
 ain homotopies\, relations analogous to Bar-Natan's S/T/4Tu and a condit
 ion given by a chronology change. Then any chronological TQFT satisfying
  these additional conditions defines a complex in the category of module
 s and we can compute its homology. This procedure generalises both Khova
 nov and odd link homology theories.
ORGANIZER;CN="Robert Lipshitz":mailto:lipshitz@math.stanford.edu
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