• Corpus ID: 233181471

Lifting Branched Covers to Braided Embeddings

  title={Lifting Branched Covers to Braided Embeddings},
  author={Sudipta Kolay},
  • S. Kolay
  • Published 8 April 2021
  • Mathematics
Braided embeddings are embeddings to a product disc bundle so the projection to the first factor is a branched cover. They can give rise to lots of (in some cases all) embeddings in the appropriate co-domain. In this paper, we study which branched covers lift to braided embeddings. 



Über offene Abbildungen auf die 3-Sphäre

4. o -For t se tzungen yon o -Abb i ldungen yon S 2 auf S 2 . . . . . . . . . . . . . . . . . . . 213 5. K o n s t r u k t i o n yon o -Abb i ldungen yon S 3 a u f S 3 . . . . . . . . . . . . . . . .

On imbedding di erentiable manifolds in euclidean space

Author(s): Hirsch, MW | Abstract: Assume n,k,m,q are positive integers. Let M^n denote a smooth differentiable n-manifold and R^k Euclidean k-space. (a) If M^n is open it imbeds smoothly in R^k,

A Lemma on Systems of Knotted Curves.

  • J. W. Alexander
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1923
continuous correspondences on a Riemann surface, whether algebraic or not, uithout recourse to transcendental considerations. (d) Open manifolds. Here an adaptation of a reasoning due to Alexander

A representation of closed orientable 3-manifolds as 3-fold branched coverings of S3

In 1920, J. W. Alexander proved that, if M3 is a closed orientable three-dimensional manifold, then there exists a covering M3→S3 that branches over a link [same Bull. 26 (1919/20), 370–372; Jbuch

Branched polynomial covering maps

Braid and knot theory in dimension four

Basic notions and notation Classical braids and links: Braids Braid automorphisms Classical links Braid presentation of links Deformation chain and Markov's theorem Surface knots and links: Surface

Braided embeddings of contact 3‐manifolds in the standard contact 5‐sphere

In this paper we study embeddings of contact manifolds using braidings of one manifold about another. In particular, we show how to embed many contact 3‐manifolds into the standard contact 5‐sphere.

How to Fold a Manifold

The English word \manifold" evokes images of an object that is layered or folded. Of course,the mathematical de nition is quite di erent where the emphasis is upon \many" such as themultiplicity of