Zobrazeno 1 - 10
of 647
pro vyhledávání: '"57M12"'
Autor:
Gallese, Andrea
Let $\pi\colon Y \to X$ be a branched cover of complex algebraic curves of respective genera $g(Y)=2$ and $g(X)=1$. The Jacobian of $Y$ is isogenous to the product of two elliptic curves: $\operatorname{Jac} Y \sim \operatorname{Jac} X \times \operat
Externí odkaz:
http://arxiv.org/abs/2412.07414
By leveraging techniques from complex analysis and topology, we have uncovered a remarkable property of branched covers and formulated a criterion for the existence of specific types of branched covers between 2-spheres. This criterion extends the fi
Externí odkaz:
http://arxiv.org/abs/2411.08336
Surgery on a knot in $S^3$ is said to be an alternating surgery if it yields the double branched cover of an alternating link. The main theoretical contribution is to show that the set of alternating surgery slopes is algorithmically computable and t
Externí odkaz:
http://arxiv.org/abs/2409.09842
In this article, we explore phenomena relating to quasi-alternating surgeries on knots, where a quasi-alternating surgery on a knot is a Dehn surgery yielding the double branched cover of a quasi-alternating link. Since the double branched cover of a
Externí odkaz:
http://arxiv.org/abs/2409.09839
We present two examples of strongly invertible L-space knots whose surgeries are never the double branched cover of a Khovanov thin link in the 3-sphere. Consequently, these knots provide counterexamples to a conjectural characterization of strongly
Externí odkaz:
http://arxiv.org/abs/2409.09833
It is known that any periodic map of order $n$ on a closed oriented surface of genus $g$ can be equivariantly embedded into $S^m$ for some $m$. In the orientable and smooth category, we determine the smallest possible $m$ when $n\geq 3g$. We show tha
Externí odkaz:
http://arxiv.org/abs/2408.13749
We use the immersed curves description of bordered Floer homology to study $d$-invariants of double branched covers $\Sigma_2(L)$ of arborescent links $L \subset S^3$. We define a new invariant $\Delta_{sym}$ of bordered $\mathbb{Z}_2$-homology solid
Externí odkaz:
http://arxiv.org/abs/2408.02857
Autor:
Li, Zhiqiang, Shi, Xianghui
Expanding Thurston maps were introduced by M. Bonk and D. Meyer with motivation from complex dynamics and Cannon's conjecture from geometric group theory via Sullivan's dictionary. In this paper, we show that the entropy map of an expanding Thurston
Externí odkaz:
http://arxiv.org/abs/2406.01712
Autor:
Li, Zhiqiang, Shi, Xianghui
Expanding Thurston maps were introduced by M. Bonk and D. Meyer with motivation from complex dynamics and Cannon's conjecture from geometric group theory via Sullivan's dictionary. In this paper, we study subsystems of expanding Thurston maps motivat
Externí odkaz:
http://arxiv.org/abs/2404.07247
Autor:
Tashiro, Hirotaka
Following the analogies between knots and primes, 3-manifolds and number rings in arithmetic topology, we show a topological analogue of the Hasse norm principle for finite cyclic coverings of 3-manifolds, which was originally stated for finite cycli
Externí odkaz:
http://arxiv.org/abs/2404.06464