Topology and its Applications 172 68-71 2014年8月 [査読有り]
We show that closed 3-manifolds with high Heegaard distance and bounded subsurface Heegaard distance are primitive stable when they are regarded as representations from the free group corresponding to the handlebody. This implies that any point on...
Woojin Jeon Inkang Kim Ken'ichi Ohshika Cyril Lecuire
ISRAEL JOURNAL OF MATHEMATICS 199(2) 841-866 2014年3月 [査読有り]
In this paper, we give a complete criterion for a discrete faithful representation rho: F-n -> PSL(2,C) to be primitive stable. This will answer Minsky's conjectures about geometric conditions on H-3/(F-n ) regarding the primitive stability of ...
ANNALES DE L INSTITUT FOURIER 64(1) 145-176 2014年 [査読有り]
We consider a quotient space of the Bers boundary of Teichmuller space, which we call the reduced Bers boundary, by collapsing each quasiconformal deformation space lying there into a point.This boundary turns out to be independent of the basepoin...
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 141(12) 4385-4389 2013年12月 [査読有り]
We show that every auto-homeomorphism of the unmeasured lamination space of an orientable surface of finite type is induced by a unique extended mapping class unless the surface is a sphere with at most four punctures or a torus with at most two p...
人文科学研究科
理学部