Zobrazeno 1 - 10
of 365
pro vyhledávání: '"Nelson, Jo"'
Autor:
Nelson, Jo, Weiler, Morgan
We establish the existence of a secondary Reeb orbit set with quantitative action and linking bounds for any contact form on the standard tight three-sphere admitting the standard transverse positive $T(p,q)$ torus knot as an elliptic Reeb orbit with
Externí odkaz:
http://arxiv.org/abs/2310.18307
Autor:
Nelson, Jo, Weiler, Morgan
Knot filtered embedded contact homology was first introduced by Hutchings in 2015; it has been computed for the standard transverse unknot in irrational ellipsoids by Hutchings and for the Hopf link in lens spaces L(n,n-1) via a quotient by Weiler. W
Externí odkaz:
http://arxiv.org/abs/2306.02125
Autor:
Digiosia, Leo, Nelson, Jo
We compute the cylindrical contact homology of the links of the simple singularities. These manifolds are contactomorphic to $S^3/G$ for finite subgroups $G\subset SU(2)$. We perturb the degenerate contact form on $S^3/G$ with a Morse function, which
Externí odkaz:
http://arxiv.org/abs/2107.07102
We obtain new sharp obstructions to symplectic embeddings of four-dimensional polydisks $P(a,1)$ into four-dimensional ellipsoids $E(bc,c)$ when $1\le a< 2$ and $b$ is a half-integer. When $1 \leq a < 2-O(b^{-1})$ we demonstrate that $P(a,1)$ symplec
Externí odkaz:
http://arxiv.org/abs/2010.06687
Autor:
Nelson, Jo, Weiler, Morgan
The 2011 PhD thesis of Farris demonstrated that the ECH of a prequantization bundle over a Riemann surface is isomorphic as a Z/2Z-graded group to the exterior algebra of the homology of its base. We extend this result by computing the Z-grading on t
Externí odkaz:
http://arxiv.org/abs/2007.13883
Autor:
Hutchings, Michael, Nelson, Jo
In a previous paper, we showed that the original definition of cylindrical contact homology, with rational coefficients, is valid on a closed three-manifold with a dynamically convex contact form. However we did not show that this cylindrical contact
Externí odkaz:
http://arxiv.org/abs/1906.03457