Monodromy Substitutions and Rational Blowdowns

Details Monodromy Substitutions and Rational Blowdowns Monodromy Substitutions and Rational Blowdowns

2010-04-21

arxiv.org/abs/1004.3762v2

Mathematics

Geometric Topology

28 pages, many figures. v2: minor edits; this version accepted for publication in Journal of Topology

Scientific paper

We introduce several new families of relations in the mapping class groups of planar surfaces, each equating two products of right-handed Dehn twists. The interest of these relations lies in their geometric interpretation in terms of rational blowdowns of 4-manifolds, specifically via monodromy substitution in Lefschetz fibrations. The simplest example is the lantern relation, already shown by the first author and Gurtas to correspond to rational blowdown along a -4 sphere; here we give relations that extend that result to realize the "generalized" rational blowdowns of Fintushel-Stern and Park by monodromy subsitution, as well as several of the families of rational blowdowns discovered by Stipsicz-Szab\'o-Wahl.

Affiliated with

Also associated with

No associations

Rating

Monodromy Substitutions and Rational Blowdowns 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 Monodromy Substitutions and Rational Blowdowns, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monodromy Substitutions and Rational Blowdowns will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-327551