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Working paper

Chekanov-type theorem for spherized cotangent bundles

math. arxive. Cornell University, 2016. No. arXiv:1602.08743.
We prove a Chekanov-type theorem for the spherization of the cotangent bundle ST∗B of a closed manifold B. It claims that for Legendrian submanifolds in ST∗B the property "to be given by a generating family quadratic at infinity" persists under Legendrian isotopies.