3 papers
math.GT2022
Reducing spheres of genus-2 Heegaard splitting of
Sreekrishna Palaparthi, Swapnendu Panda
The Goeritz group of the standard genus-g Heegaard splitting of the three sphere, , acts on the space of isotopy classes of reducing spheres for this Heegaard splitting. Schar…
math.GT2021
Distance curves on closed surfaces of arbitrary genus
Kuwari Mahanta, Sreekrishna Palaparthi
Let denote a closed, orientable surface of genus and be the associated curve complex. The mapping class group of , acts on $\mat…
math.GT2019
Describing elements of the genus-2 Goeritz group of
Sreekrishna Palaparthi, Swapnendu Panda
In this article we present a finite generating set of , the genus-2 Goeritz group of , in terms of Dehn twists about certain simple closed curves on the s…