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SUMMARY:Pavel Mnev (University of Notre Dame)
DTSTART;VALUE=DATE-TIME:20220203T160000Z
DTEND;VALUE=DATE-TIME:20220203T170000Z
DTSTAMP;VALUE=DATE-TIME:20240224T061259Z
UID:globalpoisson/75
DESCRIPTION:Title: Two field-theoretic viewpoints on the Fukaya-Morse $A_\\infty$-cate
gory\nby Pavel Mnev (University of Notre Dame) as part of Global Poiss
on webinar\n\n\nAbstract\nWe study an enhanced version of the Morse degene
ration of the Fukaya $A_\\infty$-category with higher compositions given b
y counts of gradient flow trees. The enhancement consists in allowing morp
hisms from an object to itself to be chains on the manifold. Higher compos
itions correspond to counting Morse trees passing through a given set of c
hains. We provide two viewpoints on the construction and on the proof of t
he $A_\\infty$-relations for the composition maps. One viewpoint is via an
effective action for the BF theory computed in a special gauge. The other
is via higher topological quantum mechanics. This is a report on a joint
work with O. Chekeres\, A. Losev and D. Youmans\, preprint available at ar
Xiv:2112.12756.\n
LOCATION:https://researchseminars.org/talk/globalpoisson/75/
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