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- Lisa Traynor
- 2001

It is shown that, in the 1{jet space of the circle, the swapping and the flyping procedures, which produce topologically equivalent links, can produce nonequivalent legendrian links. Each component of the links considered is legendrian isotopic to the 1{jet of the 0{function, and thus cannot be distinguished by the classical rotation number or… (More)

Theory is developed for linear-quadratic at infinity generating families for Legendrian knots in R3 . It is shown that the unknot with maximal Thurston–Bennequin invariant of −1 has a unique linear-quadratic at infinity generating family, up to fiber-preserving diffeomorphism and stabilization. From this, invariant generating family polynomials are… (More)

- F. Miller Maley, Jean Mastrangeli, Lisa Traynor
- Experimental Mathematics
- 2000

- Lisa Traynor, Elias Levy, Jeong-Hyeon Choi, Kevin Cleary, Jin Zeng, David Lindisch
- Studies in health technology and informatics
- 2000

The ISIS Center at Georgetown University Medical Center has developed a comprehensive program for image-guided procedures in the spine. As part of this program, ISIS has developed a software application known as I-SPINE (ISIS's Spine Procedure Imaging Navigation Engine). I-SPINE is a Windows NT application, which is based on the Analyze/AVM libraries. The… (More)

- Frédéric Bourgeois, Joshua Marc Sabloff, +5 authors Joshua M Sabloff
- 2017

- JOSHUA M. SABLOFF, Lisa Traynor
- 2008

Capacities that provide both qualitative and quantitative obstructions to the existence of a Lagrangian cobordism between two (n− 1)-dimensional submanifolds in parallel hyperplanes of R are defined using the theory of generating families. Qualitatively, these capacities show that, for example, in R there is no Lagrangian cobordism between two ∞-shaped… (More)

- Lisa Traynor, Lisa Traynor
- 2012

These are informal notes to accompany the first week of graduate lectures at the IAS Women and Mathematics Program. There are a number of topics covered in these notes that will not be covered in the lectures. These notes also contain some exercises which will hopefully start some good discussions at our afternoon problem sessions. We encourage you to read… (More)

- JOSHUA M. SABLOFF, Lisa Traynor
- 2009

The image of the standard Lagrangian plane in R under a compactly supported symplectomorphism is examined by studying its “slices,” i.e., its intersections with parallel hyperplanes. Numerical invariants calculated from the theory of generating families reveal restrictions on the topology of slices and on relationships between slices at different heights.… (More)

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