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X-WR-CALNAME:Andrew Cotton-Clay: \"Symplectic Floer homology of pseudo-A
 nosov and reducible maps.\"
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TZID:US/Eastern
LAST-MODIFIED:20071113T032952Z
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DURATION:PT1H
LOCATION:Math 507\, Columbia University
DTSTAMP:20071113T032604Z
UID:4357E8D9-06C4-471E-A597-1CEBE52FDDD2
SEQUENCE:7
URL;VALUE=URI:http://math.columbia.edu/~lipshitz/SGGT/
DTSTART;TZID=US/Eastern:20071130T130000
SUMMARY:Andrew Cotton-Clay: \"Symplectic Floer homology of pseudo-Anosov
  and reducible maps.\"
DESCRIPTION:Symplectic Floer homology assigns to a symplectomorphism f a
  Z/2-graded chain complex generated by the fixed points of f with differ
 entials given by counting holomorphic cylinders in M_f x R\, where M_f i
 s the mapping torus of f. The homology HF_*(f) is invariant under certai
 n deformations of f. We show how to calculate HF_*(f) using train tracks
  for f any surface symplectomorphism in a pseudo-Anosov mapping class as
  well as for f a reducible symplectomorphism satisfying a certain weak m
 onotonicity condition. In combination with previous work by Seidel\, Gau
 tschi\, and Eftekhary\, this completes the computation of Seidel's HF_*(
 g) for g any (oriented) mapping class. Our results also include surfaces
  with boundary.
ORGANIZER;CN="Robert Lipshitz":mailto:lipshitz@math.stanford.edu
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