Finite-type invariants for curves on surfaces

Details Finite-type invariants for curves on surfaces Finite-type invariants for curves on surfaces

2008-03-14

arxiv.org/abs/0803.2082v3

Mathematics

Geometric Topology

8 pages, The earlier versions contain mistakes at the title and Theorem 5.2 in ver 2 (: Theorem 4.2 in ver 1)

Scientific paper

This study defines finite-type invariants for curves on surfaces and reveals the construction of these finite-type invariants for stable homeomorphism classes of curves on compact oriented surfaces without boundaries. These invariants are a higher-order generalisation of a part of Arnold's invariants that are first-order invariants for plane immersed curves. The invariants in this theory are developed using the word theory proposed by Turaev.

Affiliated with

Also associated with

No associations

Rating

Finite-type invariants for curves on surfaces 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 Finite-type invariants for curves on surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-type invariants for curves on surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246334