Zobrazeno 1 - 10
of 1 193
pro vyhledávání: '"57R30"'
Autor:
Liu, Yi
Let $M$ be an oriented closed hyperbolic $3$--manifold. Suppose that $w$ is a rational second cohomology class of $M$ with dual Thurston norm $1$. Upon the existence of certain nonvanishing Alexander polynomials, the author shows that the pullback of
Externí odkaz:
http://arxiv.org/abs/2411.11492
Autor:
Zung, Jonathan
We present a combinatorial approach to the existence of foliations and contact structures transverse to a given pseudo-Anosov flow. Let $\varphi$ be a transitive pseudo-Anosov flow on a closed oriented 3-manifold. Our main technical result is that ev
Externí odkaz:
http://arxiv.org/abs/2411.00227
Given a finitely generated discrete group {\Gamma}, we construct for any admissible crossed product completion and for any metrizable finite dimensional compact {\Gamma}-space X, a universal Higson-Roe six-term exact sequence for the transformation g
Externí odkaz:
http://arxiv.org/abs/2411.00182
Autor:
Li, Minghao, Yang, Ling
In this paper, we study transnormal and isoparametric functions on general Riemannian manifolds. We show that transnormal and isoparametric functions impose the same topological constraints on the manifold, which requires the underlying manifold to h
Externí odkaz:
http://arxiv.org/abs/2410.21016
Autor:
Lyu, Qingfeng
For any (1,1)-knot in a lens space, we construct a co-oriented taut foliation in its complement that intersects the boundary torus transversely in a suspension foliation of the knot meridian, or the infinity slope. This provides new evidence for a co
Externí odkaz:
http://arxiv.org/abs/2410.20013
Recent years have shown that the usual generalizations of taut foliations to higher dimensions, based only on topological concepts, do not yield a theory comparable in richness to the $3$-dimensional one. The aim of this article is to prove that stro
Externí odkaz:
http://arxiv.org/abs/2410.07090
Autor:
Cardona, Robert, Gironella, Fabio
In this paper, we study confoliations in dimensions higher than three mostly from the perspective of symplectic fillability. Our main result is that Massot-Niederkr\"uger-Wendl's bordered Legendrian open book, an object that obstructs the weak symple
Externí odkaz:
http://arxiv.org/abs/2410.06918
Autor:
Gehlawat, Sahil, Nguyên, Viêt-Anh
Let $\mathcal{F}_d(\mathbb{P}^n)$ be the space of all singular holomorphic foliations by curves on $\mathbb{P}^n$ ($n \geq 2$) with degree $d \geq 1.$ We show that there is subset $\mathcal{S}_d(\mathbb{P}^n)$ of $\mathcal{F}_d(\mathbb{P}^n)$ with fu
Externí odkaz:
http://arxiv.org/abs/2409.06052
We argue that a general system of scalar fields and gauge fields manifesting vacuum degeneracy induces a principal groupoid bundle over spacetime and that the pattern of spontaneous symmetry breaking and the Higgs mechanism are encoded by the singula
Externí odkaz:
http://arxiv.org/abs/2406.17634
Autor:
Lysynskyi, Mykola, Maksymenko, Sergiy
We classify differentiable structures on a line $\mathbb{L}$ with two origins being a non-Hausdorff but $T_1$ one-dimensional manifold obtained by ``doubling'' $0$. For $k\in\mathbb{N}\cup\{\infty\}$ let $H$ be the group of homeomorphisms $h$ of $\ma
Externí odkaz:
http://arxiv.org/abs/2406.09576