Index Function and Minimal Cycles

Details Index Function and Minimal Cycles Index Function and Minimal Cycles

2005-10-21

arxiv.org/abs/math/0510458v1

Mathematics

Algebraic Topology

12 pages

Scientific paper

Let P be a closed triangulated manifold, dim P=n. We consider the group of simplicial 1-chains C_1(P) and the homology group H_1(P). We also use some nonnegative weighting function L on C_1(P). For any homological class from H_1(P) method proposed in article builds a cycle z with minimal weight L(z). The main idea is in using a simplicial scheme of space of the regular covering with automorphism group H_1(P). We construct this covering applying index function relative to any basis of group H_{n-1}(P).

Affiliated with

Also associated with

No associations

Rating

Index Function and Minimal Cycles 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 Index Function and Minimal Cycles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Index Function and Minimal Cycles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-89521