BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Product structures in Floer homology - Matthias Schwarz\, Leipzig
DTSTART:20091021T150000Z
DTEND:20091021T160000Z
UID:TALK20643@talks.cam.ac.uk
CONTACT:Jake Rasmussen
DESCRIPTION:Floer Homology generated by periodic solutions of Hamiltonian\
 nsystems comes equipped with\na natural product structure\, the so-called 
 pair-of-pants\nproduct.\nIn the case of closed symplectic manifolds this i
 s known to be\nisomorphic to the quantum cup-product.\nIn the case of nonc
 ompact symplectic manifolds such as cotangent\nbundles\, however\, Floer h
 omology \nbecomes a truly infinite dimensional theory and the pair-of-pan
 ts product\nrecovers the loop product\naccording to Chas and Sullivan.\nIt
  will be shown how to construct the classical cup product on loop space\n
 cohomology on chain level in Floer homology. Also\, the cohomology product
 \naccording to Goresky and Hingston has a chain level counterpart in Floer
 \nhomology.  \n
LOCATION:MR 13
END:VEVENT
END:VCALENDAR