Full twists factorization formula for double number of strings

Details Full twists factorization formula for double number of strings Full twists factorization formula for double number of strings

2003-08-19

arxiv.org/abs/math/0308178v1

Mathematics

Algebraic Geometry

39 pages

Scientific paper

A formula for factorizations of the full twist in the braid group $Br_{2m}$ depending on any four factorizations of the full twist in $Br_{m}$ is given. Applying this formula, a symplectic 4-manifold $X$ and two isotopic generic coverings $f_i :X\to \mathbb C\mathbb P^2$, branched, respectively, along cuspidal Hurwitz curves $\bar H_i\subset \mathbb C\mathbb P^2$ (without negative nodes) having different braid monodromy factorization types, are constructed. The class of the fundamental groups of the complements of the affine plane Hurwitz curves is described in terms of generators and defining relations.

Affiliated with

Also associated with

No associations

Rating

Full twists factorization formula for double number of strings 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 Full twists factorization formula for double number of strings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Full twists factorization formula for double number of strings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384538