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- Haverford CollegeUS14 papers
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- University of Nebraska–LincolnUS9 papers
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6 papers · 1 filter
Non-Orientable Lagrangian Cobordisms between Legendrian Knots
Orsola Capovilla-Searle, Lisa Traynor
In the symplectization of standard contact -space, , it is known that an orientable Lagrangian cobordism between a Legendrian knot and itself, also…
Lagrangian Cobordisms via Generating Families: Constructions and Geography
Frederic Bourgeois, Joshua M. Sabloff, Lisa Traynor
Embedded Lagrangian cobordisms between Legendrian submanifolds are produced from isotopy, spinning, and handle attachment constructions that employ the technique of generating fami…
The Surgery Unknotting Number of Legendrian Links
A. Bianca Boranda, Lisa Traynor, Shuning Yan
The surgery unknotting number of a Legendrian link is defined as the minimal number of particular oriented surgeries that are required to convert the link into a Legendrian unknot.…
Obstructions to Lagrangian Cobordisms between Legendrians via Generating Families
Joshua M. Sabloff, Lisa Traynor
The technique of generating families produces obstructions to the existence of embedded Lagrangian cobordisms between Legendrian submanifolds in the symplectizations of 1-jet bundl…
A Partial Ordering on Slices of Planar Lagrangians
Phil Eiseman, Jonathan D. Lima, Joshua M. Sabloff +1
A collection of simple closed curves in $\rr^3$ is called a negative slice if it is the intersection of a flat-at-infinity planar Lagrangian surface and for some $a…
Obstructions to the Existence and Squeezing of Lagrangian Cobordisms
Joshua M. Sabloff, Lisa Traynor
Capacities that provide both qualitative and quantitative obstructions to the existence of a Lagrangian cobordism between two -dimensional submanifolds in parallel hyperplan…