Preprints
  
   

Preprints
  1. A Duality Exact Sequence for Legendrian Contact Homology
    joint work with Tobias Ekholm and Joshua Sabloff, Preprint 2008.
  2. Fibered Transverse Knots and the Bennequin Bound
    joint work with Jeremy Van Horn-Morris, Preprint 2008.
  3. A note on Stein fillings of contact manifolds
    joint work with Anar Akhmedov, Thomas E. Mark and Ivan Smith, Preprint 2007.
  4. Lectures on contact geometry in low-dimensional topology
    Preprint 2006.
  1. On contact surgery
    To Appear in Proc.~Amer.~Math.~Soc..
  2. Contact structures on 3-manifolds are deformations of foliations
    To Appear in MRL.
  3. Invariants of contact structures from open books
    joint work with Burak Ozbagci, To Appear in Trans.~Amer.~Math.~Soc.
  4. Open books and plumbings
    joint work with Burak Ozbagci, IMRN 2006 (2006), 1--17.
  5. Realizing 4-manifolds as achiral Lefschetz fibrations
    joint work with Terry Fuller, IMRN 2006 (2006), 1--21.
  6. Legendrian Contact Homology in $P\times\R$
    joint work with Tobias Ekholm and Michael G. Sullivan, Trans.~Amer.~Math.~Soc 359 (2007), 3301--3335.
  7. 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.
  8. Invariants of Knots, Embeddings and Immersions via Contact Geometry
    joint work with Tobias Ekholm, Fields Inst. Commun. 47 (2005), 77--96.
  9. 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.
  10. Cabling and transverse simplicity
    joint work with Ko Honda, Annals of Math 162 (2005), 1305-1333.
  11. Generic hydrodynamic instability of curl eigenfields
    joint work with Robert Ghrist, SIAM J. Appl. Dyn. Syst. 4 (2005), no. 2, 377-390.
  12. 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.
  13. Legendrian and Transversal Knots
    in the Handbook of Knot Theory (Elsevier B. V., Amsterdam), 2005105-185.
  14. 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.
  15. 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.
  16. Planar open book decompositions and contact structures
    IMRN 2004 (2004), no. 79, 4255-4267.
  17. On Symplectic Fillings
    Algebr. Geom. Topol. 4 (2004), 73-80.
  18. On connected sums and Legendrian knots
    joint work with Ko Honda, Adv. Math. 179 (2003), 59-74.
  19. Introductory Lectures on Contact Geometry
    Proc. Sympos. Pure Math. 71 (2003), 81-107.
  20. Problems in Low Dimensional Contact Topology
    joint work with Lenhard Ng, Proc. Sympos. Pure Math. 71 (2003), 337-357.
  21. Tight contact structures and Anosov flows
    joint work with Robert Ghrist, Topol. and its Appl. 124 (2002), 211-219.
  22. Invariants of Legendrian knots and coherent orientations
    joint work with Lenhard Ng and Joshua Sabloff, J. Sympl. Geom. 1 (2002), no. 2, 321-368.
  23. Contact topology and hydrodynamics II solid tori
    joint work with Robert Ghrist, Ergod. Th. \& Dynam. Sys. 22 (2002), 819-833.
  24. Tight contact structures with no symplectic fillings
    joint work with Ko Honda, Invent. Math. 148 (2002), no. 3, 609-626.
  25. On Symplectic Cobordisms
    joint work with Ko Honda, Math. Annalen 323 (2002), no. 1, 31-39.
  26. 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.
  27. An index for closed orbits in Beltrami fields
    joint work with Robert Ghrist, Phys. D 159 (2001), no. 3-4, 180-189.
  28. Erratum to tight contact structures on lens spaces
    Commun. Contemp. Math. 3 (2001), no. 4, 649-652.
  29. On the nonexistence of tight contact structures
    joint work with Ko Honda, Ann. of Math. (2) 153 (2001), no. 3, 749-766.
  30. Tight contact structures on lens spaces
    Commun. in Contemp. Math. 2 (2000), no. 4, 559-577.
  31. Contact topology and hydrodynamics III knotted orbits
    joint work with Robert Ghrist, Trans. Amer. Math. Soc. 352 (2000), 5781-5794.
  32. Contact topology and hydrodynamics I Beltrami fields and the Seifert Conjecture
    joint work with Robert Ghrist, Nonlinearity 13 (2000), 441-458.
  33. Stratified integrals and unknots in invicid flows
    joint work with Robert Ghrist, Contemp. Math. 246 (1999), 99-111.
  34. Gradient flows within plane fields
    joint work with Robert Ghrist, Comm. Math. Helvetici 74 (1999), 507-529.
  35. Tight contact structures via dynamics
    joint work with Robert Ghrist, Proceedings of the AMS 127 (1999), 3697-3706.
  36. Transversal torus knots
    Geometry and Topology 3 (1999), 253-268.
  37. Symplectic convexity in low-dimensional topology
    Topol. and its Appl. 88 (1998), 3-25.
  38. Smooth structures on collarable ends of 4-manifolds
    joint work with Zarko Bizaka, Topology 37 (1998), 461-467.
  39. Symplectic constructions on 4-manifolds
    Dissertation, University of Texas (December 1996), 1-92.