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Home » EGN Postdoc and student seminar: Lifting Lagrangians From Donaldson Divisors

Seminar

EGN Postdoc and student seminar: Lifting Lagrangians From Donaldson Divisors February 27, 2018 (10:30 AM PST - 12:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Renato Ferreira de Velloso Vianna (Federal University of Rio de Janeiro)
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Abstract/Media

A classical construction due to Paul Biran [BirBK] allows to lift a Lagrangian submanifold from a Donaldson divisor to a Lagrangian L′ in an ambient symplectic manifold X. In [BK], it is shown that if the minimal Chern number of is greater than 1, then the count of Maslov index 2 holomorphic disks with boundary on the lifted Lagrangian L′ is equivalent to the similar count of disks with boundary on plus one extra disk. We study this enumerative geometry problem in the case when the minimal Chern number of is 1. This reveals several new, previously unexplored connections it has with relative closed- string Gromov-Witten theory of the pair (X, Y ). We explore applications, in particular, we use that to distinguish (up to action of Symp(X)) lifts of previously known Lagrangians.

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