Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry

Details Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry

2006-11-11

arxiv.org/abs/math/0611325v1

Mathematics

Geometric Topology

18 pages, 2 figures

Scientific paper

This is the first in a series of papers where we will derive invariants of three-manifolds and framed knots in them from the geometry of a manifold pseudotriangulation put in some way in a four-dimensional Euclidean space. Thus, the elements of the pseudotriangulation acquire Euclidean geometric values such as volumes of different dimensions and various kinds of angles. Then we construct an acyclic complex made of differentials of these geometric values, and its torsion will lead, depending on the specific kind of this complex, to some manifold or knot invariants. In this paper, we limit ourselves to constructing a simplest kind of acyclic complex, from which a three-manifold invariant can be obtained.

Affiliated with

Also associated with

No associations

Rating

Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry 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 Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406130