75 citations · 554 across the 50 of their papers we have counts for
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math.GT2004★ 3 cited
Invariants of Knots, Embeddings and Immersions via Contact Geometry
Tobias Ekholm, John B. Etnyre
This paper is an overview of the idea of using contact geometry to construct invariants of immersions and embeddings. In particular, it discusses how to associate a contact manifol…
math.SG2004
Orientations in Legendrian Contact Homology and Exact Lagrangian Immersions
Tobias Ekholm, John Etnyre, Michael G. Sullivan
We show how to orient moduli spaces of holomorphic disks with boundary on an exact Lagrangian immersion of a spin manifold into complex n-space in a coherent manner. This allows us…
math.DG2004
Embeddedness of minimal surfaces with total boundary curvature at most 4π
Tobias Ekholm, Brian White, Daniel Wienholtz
This paper proves that classical minimal surfaces of arbitrary topological type with total boundary curvature at most 4πmust be smoothly embedded. Related results are proved for va…