75 citations · 188 across the 24 of their papers we have counts for
27 papers
An Algorithmic Search for Knots Bounding Möbius Bands in
Daniel Lee, Joshua M. Sabloff
This study examines the smooth non-orientable -genus of knots using a large-scale computational search. Knot invariant obstructions were computed, and existing computational alg…
A Refinement of the Spanning Surface Defect in and Dimensions
Julia Knihs, Jeanette Patel, Joshua M. Sabloff +1
The spanning surface defect uses spanning surfaces of a knot in the -sphere to measure how far a knot is from being alternating. We refine the spanning surface defect and extend…
Weak Relative Calabi-Yau Structures for Legendrian Contact Homology
Jiajie Ma, Joshua M. Sabloff
Legendrian Contact Homology (LCH) and its augmentations are important invariants of Legendrian submanifolds, and for Legendrian knots in the standard contact 3-space in particular.…
Lagrangian Zigzag Cobordisms
Joshua M. Sabloff, David Shea Vela-Vick, C. -M. Michael Wong +1
We investigate an equivalence relation on Legendrian knots in the standard contact three-space defined by the existence of an interpolating zigzag of Lagrangian cobordisms. We comp…
On a Refinement of the Non-Orientable -genus of Torus Knots
Joshua M. Sabloff
In formulating a non-orientable analogue of the Milnor Conjecture on the -genus of torus knots, Batson developed an elegant construction that produces a smooth non-orientable sp…
Non-orientable Lagrangian fillings of Legendrian knots
Linyi Chen, Grant Crider-Phillips, Braeden Reinoso +2
We investigate when a Legendrian knot in standard contact has a non-orientable exact Lagrangian filling. We prove analogs of several results in the orientable settin…