7 citations · 13 across the 5 of their papers we have counts for
10 papers
Legendrian Contact Homology in P X R
Tobias Ekholm, John Etnyre, Michael G. Sullivan
A rigorous foundation for the contact homology of Legendrian submanifolds in a contact manifold of the form where is an exact symplectic manifold is established. T…
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…
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…
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…
Legendrian Submanifolds in and Contact Homology
Tobias Ekholm, John Etnyre, Michael G. Sullivan
Contact homology for Legendrian submanifolds in standard contact -space is rigorously defined using moduli spaces of holomorphic disks with Lagrangian boundary conditions i…
The complex shade of a real space and its applications
Tobias Ekholm
A natural oriented (2k+2)-chain in CP^{2k+1} with boundary twice RP^{2k+1}, its complex shade, is constructed. Via intersection numbers with the shade, a new invariant, the shade n…