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X-WR-CALNAME:Joint seminar: Junho Lee\, \"Local Gromov--Witten invariant
 s of Spin curves\"
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TZID:America/New_York
LAST-MODIFIED:20080220T153009Z
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DTSTART:20071104T060000
TZOFFSETTO:-0500
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DTSTART:20080309T010000
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DURATION:PT1H
LOCATION:Math 131 at SUNY Stony Brook
DTSTAMP:20080220T152955Z
UID:9F7194FC-946D-40FB-A396-3D4BC5291605
SEQUENCE:8
URL;VALUE=URI:http://math.columbia.edu/~lipshitz/SGGT/
DTSTART;TZID=America/New_York:20080222T160000
SUMMARY:Joint seminar: Junho Lee\, \"Local Gromov--Witten invariants of 
 Spin curves\"
DESCRIPTION:Abstract: This is a joint work with Thomas H. Parker. We def
 ine a new type of sym- plectic \"local Gromov-Witten invariant\" of a sp
 in curve. When X is a Kahler surface with a smooth canonical divisor D\,
  its (full) GW invariants are expressed in terms of such local invariant
 s\, which in turn are universal functions determined by the genera of th
 e canonical divisor components and the holomorphic Euler characteristic 
 of X. We also show how these local GW invariants arise from an obstructi
 on bundle (in the sense of Taubes) over the space of stable maps into cu
 rves. This yields an interesting theorem relating two- and four-dimensio
 nal Gromov-Witten theory.
ORGANIZER;CN="Robert Lipshitz":mailto:lipshitz@math.stanford.edu
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