2 citations · 4 across the 7 of their papers we have counts for
7 papers
-Thurston norm in Sol manifolds and embeddability of non-orientable surfaces
Xiaoming Du, Weibiao Wang
For every Sol manifold , we determine the -Thurston norm of every element in . Each Sol manifold is either a torus bundle over the circle or a…
On -Thurston norms and pseudo-horizontal surfaces in orientable Seifert -manifolds
Xiaoming Du
We describe a general method to compute the -Thurston norm for every -homology class in an orientable Seifert manifold with orientable orbit surface. Ou…
The Torsion Generating Set Of The Extended Mapping Class Groups In Low Genus Cases
Xiaoming Du
We prove that for genus , the extended mapping class group can be generated by two elements of finite orders. But for , …
The Torsion Generating Set Of The Dehn Twist Subgroups Of Non-orientable Surfaces
Xiaoming Du
Let be the non-orientable surface with genus , be the mapping class group of , be the index 2 subgroup generated by all Dehn twis…
The Extended Mapping Class Group Can Be Generated by Two Torsions
Xiaoming Du
Let be the closed oriented surface of genus g and let be the extended mapping class group of . When the genus is at least 5, we prove that $\text…
Generating the mapping class groups by torsions
Xiaoming Du
Let be the closed oriented surface of genus g and let be the mapping class group. When the genus is at least 3, can be generated by torsio…