Preprints
Preprints
Cabling and transverse simplicity
joint work with Ko Honda, Preprint 2003.
The Contact Homology of Legendrian Submanifolds in $\R^{2n+1}$
joint work with Tobias Ekholm and Michael G. Sullivan, Preprint 2003.
Non-isotopic Legendrian Submanifolds in $\R^{2n+1}$
joint work with Tobias Ekholm and Michael G. Sullivan, Preprint 2002.
Publications
Contact Manifolds
To Appear in the Encyclopedia of Mathematical Physics.
Invariants of Knots, Embeddings and Immersions via Contact Geometry
joint work with Tobias Ekholm, To Appear in the proceedings of the ``Fields-McMaster Conference on Geometry and Topology of Manifolds''.
Lectures on open book decompositions and contact structures
To Appear in the proceedings of the ``Floer Homology, Gauge Theory, and Low Dimensional Topology Workshop''.
Orientations in Legendrian Contact Homology and Exact Lagrangian Immersions
joint work with Tobias Ekholm and Michael G. Sullivan, To Appear in IJM.
Generic hydrodynamic instability of curl eigenfields
joint work with Robert Ghrist, To Appear in SIAM J. Appl. Dyn. Syst..
Legendrian and Transversal Knots
To Appear in the Handbook of Knot Theory.
Planar open book decompositions and contact structures
IMRN
2004
(2004), no. 79, 4255-4267.
On Symplectic Fillings
Algebr. Geom. Topol.
4
(2004), 73-80.
On connected sums and Legendrian knots
joint work with Ko Honda, Adv. Math.
179
(2003), 59-74.
Introductory Lectures on Contact Geometry
Proc. Sympos. Pure Math.
71
(2003), 81-107.
Problems in Low Dimensional Contact Topology
joint work with Lenhard Ng, Proc. Sympos. Pure Math.
71
(2003), 337-357.
Tight contact structures and Anosov flows
joint work with Robert Ghrist, Topol. and its Appl.
124
(2002), 211-219.
Invariants of Legendrian knots and coherent orientations
joint work with Lenhard Ng and Joshua Sabloff, J. Sympl. Geom.
1
(2002), no. 2, 321-368.
Contact topology and hydrodynamics II solid tori
joint work with Robert Ghrist, Ergod. Th. \& Dynam. Sys.
22
(2002), 819-833.
Tight contact structures with no symplectic fillings
joint work with Ko Honda, Invent. Math.
148
(2002), no. 3, 609-626.
On Symplectic Cobordisms
joint work with Ko Honda, Math. Annalen
323
(2002), no. 1, 31-39.
Knots and contact geometry I torus knots and the figure eight knot
joint work with Ko Honda, J. Sympl. Geom.
1
(2001), no. 1, 63-120.
An index for closed orbits in Beltrami fields
joint work with Robert Ghrist, Phys. D
159
(2001), no. 3-4, 180-189.
Erratum to tight contact structures on lens spaces
Commun. Contemp. Math.
3
(2001), no. 4, 649-652.
On the nonexistence of tight contact structures
joint work with Ko Honda, Ann. of Math. (2)
153
(2001), no. 3, 749-766.
Tight contact structures on lens spaces
Commun. in Contemp. Math.
2
(2000), no. 4, 559-577.
Contact topology and hydrodynamics III knotted orbits
joint work with Robert Ghrist, Trans. Amer. Math. Soc.
352
(2000), 5781-5794.
Contact topology and hydrodynamics I Beltrami fields and the Seifert Conjecture
joint work with Robert Ghrist, Nonlinearity
13
(2000), 441-458.
Stratified integrals and unknots in invicid flows
joint work with Robert Ghrist, Contemp. Math.
246
(1999), 99-111.
Gradient flows within plane fields
joint work with Robert Ghrist, Comm. Math. Helvetici
74
(1999), 507-529.
Tight contact structures via dynamics
joint work with Robert Ghrist, Proceedings of the AMS
127
(1999), 3697-3706.
Transversal torus knots
Geometry and Topology
3
(1999), 253-268.
Symplectic convexity in low-dimensional topology
Topol. and its Appl.
88
(1998), 3-25.
Smooth structures on collarable ends of 4-manifolds
joint work with Zarko Bizaka, Topology
37
(1998), 461-467.
Symplectic constructions on 4-manifolds
Dissertation, University of Texas
(December 1996), 1-92.
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