论文标题
由Dehn Twist产生旋转映射类小组
Generating the spin mapping class group by Dehn twists
论文作者
论文摘要
令F为z/2z-spin结构,a属g> 3的闭合表面S。我们确定了由deht Twists组成的S映射类中F的生成集稳定剂,内容涉及S的2G+1曲线集合。如果G = 3,我们还确定了由Dehn Twist组成的奇数Z/2Z-Spin结构的稳定剂的生成集,该结构由Dehn Twist组成6曲线。
Let f be a Z/2Z-spin structureon a closed surface S of genus g>3. We determine a generating set of the stabilizer of f in the mapping class group of S consisting of Dehn twists about an explicit collection of 2g+1 curves in S. If g=3 then we also determine a generating set of the stabilizer of an odd Z/2Z-spin structure consisting of Dehn twists about a collection of 6 curves.