2013 - Fellow of the American Mathematical Society
John B. Etnyre mainly focuses on Pure mathematics, Isotopy, Homology, Contact geometry and Mathematical analysis. His Pure mathematics study frequently draws connections between adjacent fields such as Algebra. John B. Etnyre performs integrative study on Isotopy and Fully developed.
In his work, Combinatorial theory, Immersion and Closed manifold is strongly intertwined with Invariant, which is a subfield of Homology. John B. Etnyre combines subjects such as Manifold and Knot with his study of Symplectic manifold. His research integrates issues of Geometric topology, Topology and Topology in his study of Symplectic geometry.
John B. Etnyre spends much of his time researching Pure mathematics, Mathematical analysis, Symplectic geometry, Invariant and Homology. The concepts of his Pure mathematics study are interwoven with issues in Structure and Algebra. John B. Etnyre combines subjects such as Vector field and Contact geometry with his study of Mathematical analysis.
His work in the fields of Symplectic filling overlaps with other areas such as SPHERES. As part of one scientific family, John B. Etnyre deals mainly with the area of Homology, narrowing it down to issues related to the Holomorphic function, and often Moduli space. His work in Isotopy addresses issues such as Torus, which are connected to fields such as Combinatorics, Transversal and Euler's formula.
His primary scientific interests are in Pure mathematics, Symplectic geometry, Manifold, Structure and Transverse plane. His Pure mathematics study incorporates themes from Embedding and Contact geometry. His Symplectic geometry research incorporates themes from Iterated function and Algebraic topology.
His study explores the link between Manifold and topics such as Simply connected space that cross with problems in Boundary. His biological study spans a wide range of topics, including Floer homology and Torus. His study brings together the fields of Symplectic filling and Homology.
Pure mathematics, Contact geometry, Homology, Manifold and Symplectic geometry are his primary areas of study. His work on 5-manifold is typically connected to Transverse plane as part of general Pure mathematics study, connecting several disciplines of science. His Contact geometry research is multidisciplinary, incorporating elements of Mathematical analysis, Holomorphic function, Ball, Riemannian geometry and Upper and lower bounds.
His study ties his expertise on Symplectic filling together with the subject of Homology. John B. Etnyre has included themes like Generalization, Group, Integer and Fundamental group in his Manifold study. His study in Class is interdisciplinary in nature, drawing from both Discrete mathematics, Geometry and topology, Mapping class group, Connection and Invariant.
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Legendrian and Transversal Knots
John B. Etnyre.
arXiv: Symplectic Geometry (2005)
Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot
John B. Etnyre;Ko Honda.
Journal of Symplectic Geometry (2001)
Legendrian contact homology in $P imes \mathbb{R}$
Tobias Ekholm;Tobias Ekholm;John B. Etnyre;John B. Etnyre;Michael C. Sullivan.
Transactions of the American Mathematical Society (2007)
Planar open book decompositions and contact structures
John B. Etnyre.
International Mathematics Research Notices (2004)
On the nonexistence of tight contact structures
John B. Etnyre;Ko Honda.
Annals of Mathematics (2001)
Chapter 3 – Legendrian and Transversal Knots
John B. Etnyre.
Handbook of Knot Theory (2005)
Lectures on open book decompositions and contact structures
John B. Etnyre.
arXiv: Symplectic Geometry (2004)
On Symplectic Cobordisms
John B. Etnyre;Ko Honda.
Mathematische Annalen (2002)
Invariants of Legendrian Knots and Coherent Orientations
John B. Etnyre;Lenhard L. Ng;Joshua M. Sabloff.
Journal of Symplectic Geometry (2001)
The contact homology of Legendrian submanifolds in R2n+1
Tobias Ekholm;John Etnyre;Michael Sullivan.
Journal of Differential Geometry (2005)
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