Constructing Simplicial Branched Covers

Details Constructing Simplicial Branched Covers Constructing Simplicial Branched Covers

2007-07-10

arxiv.org/abs/0707.1411v2

Mathematics

Combinatorics

15 pages, 8 figures, typos corrected and conjecture added

Scientific paper

Branched covers are applied frequently in topology - most prominently in the construction of closed oriented PL d-manifolds. In particular, strong bounds for the number of sheets and the topology of the branching set are known for dimension d<=4. On the other hand, Izmestiev and Joswig described how to obtain a simplicial covering space (the partial unfolding) of a given simplicial complex, thus obtaining a simplicial branched cover [Adv. Geom. 3(2):191-255, 2003]. We present a large class of branched covers which can be constructed via the partial unfolding. In particular, for d<=4 every closed oriented PL d-manifold is the partial unfolding of some polytopal d-sphere.

Affiliated with

Also associated with

No associations

Rating

Constructing Simplicial Branched Covers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Constructing Simplicial Branched Covers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constructing Simplicial Branched Covers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453573