REVIEW 1 cited by
Mapping class groups of circle bundles over a surface
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Mapping class groups of circle bundles over a surface
read the original abstract
In this paper, we study the algebraic structure of mapping class group $Mod(X)$ of 3-manifolds $X$ that fiber as a circle bundle over a surface $S^1\rightarrow X\rightarrow S_g$. There is an exact sequence $1\rightarrow H^1(S_g)\rightarrow Mod(X)\rightarrow Mod(S_g)\rightarrow1$. We relate this to the Birman exact sequence and determine when this sequence splits.
Forward citations
Cited by 1 Pith paper
-
Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle
Inserting a symmetry defect along the orientation-reversing cycle on a Klein bottle in a 2D Z2 SPT phase induces an extra ground state charge that persists at the transition to the trivial phase, causing exact two-fol...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.