6 citations · 6 across the 1 of their papers we have counts for
5 papers
Equivalence classes of augmentations and Morse complex sequences of Legendrian knots
Michael B. Henry, Dan Rutherford
Let L be a Legendrian knot in R^3 with the standard contact structure. In [10], a map was constructed from equivalence classes of Morse complex sequences for L, which are combinato…
Computing Homology Invariants of Legendrian Knots
Emily E. Casey, Michael B. Henry
The Chekanov-Eliashberg differential graded algebra of a Legendrian knot L is a rich source of Legendrian knot invariants, as is the theory of generating families. The set P(L) of…
Ruling polynomials and augmentations over finite fields
Michael B. Henry, Dan Rutherford
For any Legendrian link, L, in (\R^3, \ker(dz-y\,dx)) we define invariants, Aug_m(L,q), as normalized counts of augmentations from the Legendrian contact homology DGA of L into a f…
A combinatorial DGA for Legendrian knots from generating families
Michael B. Henry, Dan Rutherford
For a Legendrian knot L in R^3 with a chosen Morse complex sequence (MCS) we construct a differential graded algebra (DGA) whose differential counts "chord paths" in the front proj…
Connections between Floer-type invariants and Morse-type invariants of Legendrian knots
Michael Henry
We define an algebraic/combinatorial object on the front projection of a Legendrian knot called a Morse complex sequence, abbreviated MCS. This object is motivated by the theor…