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3620 South Vermont Avenue, Los Angeles, CA 90089

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Hyunki Min, UCLA

Legendrian knots play an important role in contact topology. Traditionally, studies have focused on isotopy classes of Legendrian knots and their invariants. In this talk, we explore families of Legendrian knots. In particular, we will determine the homotopy type of spaces of Legendrian torus knots with the maximal Thurston-Bennequin invariant. This result establishes an injective h-principle for the space of Legendrian torus knots and the space of formal Legendrian torus knots. This is joint work with Eduardo Fernandez.

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