Linking number in a projective space as the degree of a map

Details Linking number in a projective space as the degree of a map Linking number in a projective space as the degree of a map

2004-05-19

arxiv.org/abs/math/0405364v1

Mathematics

Geometric Topology

8 pages, 1 figure

Scientific paper

For any two disjoint oriented circles embedded into the 3-dimensional real projective space, we construct a 3-dimensional configuration space and its map to the projective space such that the linking number of the circles is the half of the degree of the map. Similar interpretations are given for the linking number of cycles in a projective space of arbitrary odd dimension and the self-linking number of a zero homologous knot in the 3-dimensional projective space.

Affiliated with

Also associated with

No associations

Rating

Linking number in a projective space as the degree of a map 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 Linking number in a projective space as the degree of a map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linking number in a projective space as the degree of a map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254899