-
chosen to be a path of
Legendrian knots.
Legendrian submanifolds are very
rigid objects;
typically there are
infinitely many
Legendrian isotopy classes of...
- Adrien-Marie
Legendre (/ləˈʒɑːndər, -ˈʒɑːnd/; French: [adʁiɛ̃ maʁi ləʒɑ̃dʁ]; 18
September 1752 – 9
January 1833) was a
French mathematician who made numerous...
- In mathematics, a
Legendrian knot
often refers to a
smooth embedding of the
circle into R 3 {\displaystyle \mathbb {R} ^{3}} ,
which is
tangent to the...
-
introduced two
examples of planes, a semi-Euclidean
geometry and a non-
Legendrian geometry, that have
infinitely many
lines parallel to a
given one that...
- her
doctorate at
Stanford University in 2012; her dissertation,
Loose Legendrian Embeddings in High
Dimensional Contact Manifolds, was
supervised by Yakov...
- subspace. Namely, it is ****ociated to a
contact manifold and one of its
Legendrian submanifolds. It is a part of a more
general invariant known as symplectic...
-
point of the knot is
transverse to the
contact plane at that point. Any
Legendrian knot can be C0-perturbed in a
direction transverse to the
contact planes...
-
symplectic geometry. His Ph.D.
thesis and
several other papers concern Legendrian knots, and his best-known work
applies symplectic field theory to derive...
- Thurston–Bennequin number, or
Bennequin number, of a
front diagram of a
Legendrian knot is
defined as the
writhe of the
diagram minus the
number of right...
-
singularity theory,
finite type invariants, and
Legendrian knots. Many of his
papers in
Lagrangian and
Legendrian geometry are now
considered to be classical...
