T. Ekholm

activity

19992022

most citedA Duality Exact Sequence for Legendrian Contact Homology

75 citations · 554 across the 50 of their papers we have counts for

collaborators

Showing 2007Show all

3 papers · 1 filter

math.SG2007

Isotopies of Legendrian 1-knots and Legendrian 2-tori

Tobias Ekholm, Tamas Kalman

We construct a Legendrian 2-torus in the 1-jet space of $S^{1} \times R$ (or of $R^{2}$ ) from a loop of Legendrian knots in the 1-jet space of $R$ . The differential graded algebra (DG…

math.SG2007

A note on Reeb dynamics on the tight 3-sphere

F. Bourgeois, K. Cieliebak, T. Ekholm

We show that a nondegenerate tight contact form on the 3-sphere has exactly two simple closed Reeb orbits if and only if the differential in linearized contact homology vanishes. M…

math.GT2007★ 5 cited

Cobordisms of fold maps and maps with prescribed number of cusps

Tobias Ekholm, Andras Szucs, Tamas Terpai

A generic smooth map of a closed $2 k$ -manifold into $(3 k - 1)$ -space has a finite number of cusps ( $Σ^{1, 1}$ -singularities). We determine the possible numbers of cusps of such maps.…