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Benjamin Aslan: Lectures

January 13, 2022
TITLE: Transverse J-holomorpic curves in nearly Kähler CP^3

ABSTRACT: Nearly Kähler manifolds in dimension six are certain almost Hermitian manifolds which admit a real Killing spinor, meaning they are Einstein manifolds. The most famous example is the round six-sphere but CP^3 also carries a nearly Kähler structure. J-holomorphic curves in nearly Kähler manifolds are closely related to associatives in G_2 geometry. In this talk, we will introduce the class of transverse J-holomorphic curves in CP^3, discuss their relationship to Toda lattice equations and construct a moment-type map for torus actions on CP^3 to study U(1)-invariant examples

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