28 citations · 270 across the 43 of their papers we have counts for
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3 papers · 1 filter
math.GT2009★ 3 cited
Legendrian contact homology and nondestabilizability
Clayton Shonkwiler, David Shea Vela-Vick
We provide the first example of a Legendrian knot with nonvanishing contact homology whose Thurston-Bennequin invariant is not maximal.
math.DG2009★ 16 cited
Poincare duality angles for Riemannian manifolds with boundary
Clayton Shonkwiler
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear as certain subspaces of harmonic forms. DeTurck and Gluck showed that these concr…
math.GT2009★ 4 cited
Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links
Dennis DeTurck, Herman Gluck, Rafal Komendarczyk +3
Three-component links in the 3-dimensional sphere were classified up to link homotopy by John Milnor in his senior thesis, published in 1954. A complete set of invariants is given…