A curved deformation of the dg algebra on the based loop space of L is built from holomorphic disc moduli spaces via string topology, implying non-vanishing Maslov class when pi2(L) vanishes.
Graded Lagrangian submanifolds
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The topology of Lagrangian submanifolds via open-closed string topology
A curved deformation of the dg algebra on the based loop space of L is built from holomorphic disc moduli spaces via string topology, implying non-vanishing Maslov class when pi2(L) vanishes.