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VERSION:2.0
CALSCALE:GREGORIAN
PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-7866
DTSTART:20220826T160000Z
DURATION:PT1H0M0S
DTSTAMP:20240519T205646Z
LAST-MODIFIED:20220818T171623Z
LOCATION:https://uwmadison.zoom.us/j/95409452465
SUMMARY:Constructing an Extended TFT from an A-infinity Algebra\, Thes
is Defense\, Weng-Him Cheung \, Physics PhD Graduate Student
DESCRIPTION:It is known that the category of 2-dimensional topological
(quantum) field theories is equivalent to the category of commutative
Frobenius algebras. Costello extended this equivalence to cyclic A-in
finity algebras by introducing what he called topological conformal fi
eld theories\, though he did not provide a construction. Kontsevich an
d Soibelman later sketched a formula for constructing a positive-bound
ary 2-dimensional topological field theory from a cyclic A-infinity al
gebra\, but they only provided rough ideas. Following their work\, we
present the explicit construction in full detail. In particular\, we d
escribe a procedure for computing the correct signs\, which had previo
usly not been discussed.
URL:https://www.physics.wisc.edu/events/?id=7866
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