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SUMMARY:New Invariants for Non-Fano Manifolds from Cohomological Quantum F
ield Theory
DTSTART:20240612T140000Z
DTEND:20240612T153000Z
DTSTAMP:20240715T152500Z
UID:indico-event-41722@agenda.infn.it
DESCRIPTION:Speakers: Michael Lathwood (University of New Hampshire)\n\nTh
e topological A-model and topological B-model are topological quantum fiel
d theories which can be constructed with BRST cohomology. These theories o
nly depend on only a Kähler or complex structure moduli space\, respectiv
ely. Correlation functions in the topological A-model can be expressed in
terms of Gromov-Witten invariants whereas the equivalent mirror topologica
l B-model admits a simpler description in terms of period integrals. In th
is talk (based on arXiv:2404.16782)\, we solve the open/closed Picard-Fuch
s system for the Hirzebruch surfaces\, and hence compute periods to all or
ders of the mirror complex structure moduli on the B-side. We use toric de
generations\, scattering diagrams\, and Landau-Ginzburg models from the Gr
oss-Siebert mirror symmetry program to compute Gromov-Witten invariants on
the A-side. We observe novel features such as internal scattering in the
non-Fano case. Following the work of Carl-Pumperla-Siebert\, we compute co
rrected mirror superpotentials ϑ_1(𝔽_m) and their periods for the Hirz
ebruch surfaces 𝔽_m with m ≥ 2. This work extends the result of Gräf
nitz-Ruddat-Zaslow. Namely\, the proper Landau-Ginzburg superpotential is
the open mirror map even in the non-Fano setting.\n\nhttps://agenda.infn.i
t/event/41722/
LOCATION:Aula Conversi (Dip. di Fisica - Edificio G. Marconi)
URL:https://agenda.infn.it/event/41722/
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