Preprints
Preprints
A note on the support norm of a contact structure
joint work with John A Baldwin, Preprint 2009.
Torsion and Open Book Decompositions
joint work with David Shea Vela-Vick, Preprint 2009.
A bound for the radius of a tight ball in a contact metric 3-manifold
joint work with Rafal Komendarczyk, Preprint 2009.
On generalized Lutz twists
joint work with Dishant M Pancholi, Preprint 2009.
Product Structures for Legendrian Contact Homology
joint work with Gokhan Civan, Paul Koprowski, Joshua Sabloff and Alden Walker, Preprint 2009.
Rational linking and contact geometry
joint work with Kenneth L Baker, Preprint 2009.
Fibered Transverse Knots and the Bennequin Bound
joint work with Jeremy Van Horn-Morris, Preprint 2008.
Lectures on contact geometry in low-dimensional topology
Preprint 2006.
Publications
A note on Stein fillings of contact manifolds
joint work with Anar Akhmedov, Thomas E. Mark and Ivan Smith, To Appear in MRL.
A Duality Exact Sequence for Legendrian Contact Homology
joint work with Tobias Ekholm and Joshua Sabloff, Duke Journal of Math.
150
(2009), 1--75.
On contact surgery
Proc.~Amer.~Math.~Soc.
136
(2008), 3355--3362.
Invariants of contact structures from open books
joint work with Burak Ozbagci, Trans.~Amer.~Math.~Soc
260
(2008), 3133--3151.
Contact structures on 3-manifolds are deformations of foliations
MRL
14
(2007), 775-779.
Legendrian Contact Homology in $P\times\R$
joint work with Tobias Ekholm and Michael G. Sullivan, Trans.~Amer.~Math.~Soc
359
(2007), 3301--3335.
Open books and plumbings
joint work with Burak Ozbagci, IMRN
2006
(2006), 1--17.
Realizing 4-manifolds as achiral Lefschetz fibrations
joint work with Terry Fuller, IMRN
2006
(2006), 1--21.
Contact Manifolds
Encyclopedia of Mathematical Physics, eds. J.-P. Fran\c{c}oise, G.L. Naber and S.T. Tsou, Oxford: Elsevier, v. 1 2006631--636.
Lectures on open book decompositions and contact structures
Clay Math. Proc. 5 (the proceedings of the ``Floer Homology, Gauge Theory, and Low Dimensional Topology Workshop''), 2006103--141.
Invariants of Knots, Embeddings and Immersions via Contact Geometry
joint work with Tobias Ekholm, Fields Inst. Commun.
47
(2005), 77--96.
Cabling and transverse simplicity
joint work with Ko Honda, Annals of Math
162
(2005), 1305-1333.
Generic hydrodynamic instability of curl eigenfields
joint work with Robert Ghrist, SIAM J. Appl. Dyn. Syst.
4
(2005), no. 2, 377-390.
Orientations in Legendrian Contact Homology and Exact Lagrangian Immersions
joint work with Tobias Ekholm and Michael G. Sullivan, IJM
16
(2005), no. 5, 453-532.
Legendrian and Transversal Knots
in the Handbook of Knot Theory (Elsevier B. V., Amsterdam), 2005105-185.
The Contact Homology of Legendrian Submanifolds in $\R^{2n+1}$
joint work with Tobias Ekholm and Michael G. Sullivan, J. Differential Geom.
71
(2005), no. 2, 177-305.
Non-isotopic Legendrian Submanifolds in $\R^{2n+1}$
joint work with Tobias Ekholm and Michael G. Sullivan, J. Differential Geom.
71
(2005), no. 1, 85-128.
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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