Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Dehornoy, Pierre"'
Autor:
Dehornoy, Pierre
These are expository notes in which we explain how one can see some exceptional surgeries connecting the suspension of the cat-bat map and the unit tangent bundles to some hyperbolic orbispheres.
Comment: 22 pages, 27 pictures, to appear in the
Comment: 22 pages, 27 pictures, to appear in the
Externí odkaz:
http://arxiv.org/abs/2409.06543
Autor:
Dehornoy, Pierre
Publikováno v:
S\'eminaire de th\'eorie spectrale et g\'eom\'etrie, Tome 36 (2019-2021), pp. 1-30
We show that, in the unit tangent bundle of a hyperbolic orbisphere with cone points of order 3, 3, 4, the lift of the shortest periodic geodesic is homeomorphic to the complement of the figure-eight knot in the 3-sphere. The proof eventually relies
Externí odkaz:
http://arxiv.org/abs/2409.06532
While the problem of computing the genus of a knot is now fairly well understood, no algorithm is known for its four-dimensional variants, both in the smooth and in the topological locally flat category. In this article, we investigate a class of kno
Externí odkaz:
http://arxiv.org/abs/2312.09094
In this paper we use broken book decompositions to study Reeb flows on closed $3$-manifolds. We show that if the Liouville measure of a nondegenerate contact form can be approximated by periodic orbits, then there is a Birkhoff section for the associ
Externí odkaz:
http://arxiv.org/abs/2202.01506
Autor:
Dehornoy, Pierre, Ozbagci, Burak
Suppose that $\Sigma$ is a closed and oriented surface equipped with a Riemannian metric. In the literature, there are three seemingly distinct constructions of open books on the unit (co)tangent bundle of $\Sigma$, having complex, contact, and dynam
Externí odkaz:
http://arxiv.org/abs/2105.04814
The set of quasipositive surfaces is closed under incompressible inclusion. We prove that the induced order on fibre surfaces of positive braid links is almost a well-quasi-order. When restricting to quasipositive surfaces containing a fixed root of
Externí odkaz:
http://arxiv.org/abs/2104.11447
We prove that in dimension 3 every nondegenerate contact form is carried by a broken book decomposition. As an application we get that if M is a closed irreducible oriented 3-manifold that is not a graph manifold, for example a hyperbolic manifold, t
Externí odkaz:
http://arxiv.org/abs/2001.01448
Autor:
Dehornoy, Pierre, Shannon, Mario
Two flows on two compact manifolds are almost equivalent if there is a homeomorphism from the complement of a finite number of periodic orbits of the first flow to the complement of the same number of periodic orbits of the second flow that sends orb
Externí odkaz:
http://arxiv.org/abs/1910.08457
Autor:
Dehornoy, Pierre, Rechtman, Ana
Given a flow on a 3-dimensional integral homology sphere, we give a formula for the Euler characteristic of its transverse surfaces, in terms of boundary data only. We illustrate the formula with several examples, in particular with surfaces of low g
Externí odkaz:
http://arxiv.org/abs/1910.03450
Autor:
Dehornoy, Pierre, Liechti, Livio
A divide on an orientable 2-orbifold gives rise to a fibration of the unit tangent bundle to the orbifold.We characterize the corresponding monodromies as exactly the products of a left-veering horizontal and a right-veering vertical antitwist with r
Externí odkaz:
http://arxiv.org/abs/1910.00851