5 citations · 5 across the 8 of their papers we have counts for
8 papers
Global fixed point in low-dimensional surface group deformation space
Yasushi Kasahara
Under the natural action of the pure mapping class group of a surface of genus at least three, we show that any global fixed point in the low-dimensional deformation space of the s…
Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces
Yasushi Kasahara
We continue the study of low dimensional linear representations of mapping class groups of surfaces initiated by Franks--Handel and Korkmaz. We consider -dimensional comple…
Geometric intersection in representations of mapping class groups of surfaces
Yasushi Kasahara
We show that the detection of geometric intersection in an arbitrary representation of the mapping class group of surface implies the injectivity of that representation up to cente…
A uniqueness of periodic maps on surfaces
Susumu Hirose, Yasushi Kasahara
Kulkarni showed that, if g is greater than 3, a periodic map on an oriented surface S_g of genus g with order more than or equal to 4g is uniquely determined by its order, up to co…
On visualization of the linearity problem for mapping class groups of surfaces
Yasushi Kasahara
We derive two types of linearity conditions for mapping class groups of orientable surfaces: one for once-punctured surface, and the other for closed surface, respectively. For the…
Addendum to: "An expansion of the Jones representation of genus 2 and the Torelli group"
Yasushi Kasahara
We observe that the determinant of the representation provides a little restriction for the structure of the graded quotients introduced in both [Algebr. Geom.…
Remarks on the faithfulness of the Jones representations
Yasushi Kasahara
We consider the linear representations of the mapping class group of an n-punctured 2-sphere constructed by V. F. R. Jones using Iwahori-Hecke algebras of type A. We show that thei…
An expansion of the Jones representation of genus 2 and the Torelli group
Yasushi Kasahara
We study the algebraic property of the representation of the mapping class group of a closed oriented surface of genus 2 constructed by VFR Jones [Annals of Math. 126 (1987) 335-38…