Sheaf quantization and intersection of rational Lagrangian immersions
arXiv:2005.05088 · doi:10.5802/aif.3554
Abstract
We study rational Lagrangian immersions in a cotangent bundle, based on the microlocal theory of sheaves. We construct a sheaf quantization of a rational Lagrangian immersion and investigate its properties in Tamarkin category. Using the sheaf quantization, we give an explicit bound for the displacement energy and a Betti/cup-length estimate for the number of the intersection points of the immersion and its Hamiltonian image by a purely sheaf-theoretic method.
41 pages, 1 figure. Final version
References in corpus (5)
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