43 citations · 184 across the 26 of their papers we have counts for
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math.GT2017★ 34 cited
The first integral cohomology of pure mapping class groups
Javier Aramayona, Priyam Patel, Nicholas G. Vlamis
It is a classical result of Powell that pure mapping class groups of connected, orientable surfaces of finite type and genus at least three are perfect. In stark contrast, we const…
math.GT2017★ 29 cited
Algebraic and topological properties of big mapping class groups
Priyam Patel, Nicholas G. Vlamis
Let be an orientable, connected surface with infinitely-generated fundamental group. The main theorem states that if the genus of is finite and at least 4, then the isomorp…