Density of fibers for the filtered Fukaya category of $T^*N$

Fuente: arXiv
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Autori principali: Guillermou, Stéphane, Viterbo, Claude, Zhang, Bingyu
Natura: Preprint
Pubblicazione: 2026
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author Guillermou, Stéphane
Viterbo, Claude
Zhang, Bingyu
author_facet Guillermou, Stéphane
Viterbo, Claude
Zhang, Bingyu
contents We answer a question of Biran and Cornea about the density of iterated cones of fibers in the Fukaya category of a cotangent bundle. We prove that indeed if we take a dense set of basepoints, the iterated cones of the cotangent fibres are dense in the Filtered Fukaya category.
format Preprint
id arxiv_https___arxiv_org_abs_2602_21759
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Density of fibers for the filtered Fukaya category of $T^*N$
Guillermou, Stéphane
Viterbo, Claude
Zhang, Bingyu
Symplectic Geometry
Category Theory
53D12, 53D40, 18Fxx, 18Gxx
We answer a question of Biran and Cornea about the density of iterated cones of fibers in the Fukaya category of a cotangent bundle. We prove that indeed if we take a dense set of basepoints, the iterated cones of the cotangent fibres are dense in the Filtered Fukaya category.
title Density of fibers for the filtered Fukaya category of $T^*N$
topic Symplectic Geometry
Category Theory
53D12, 53D40, 18Fxx, 18Gxx
url https://arxiv.org/abs/2602.21759