Sagar B Kalane

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20172026

most citedLocal coordinates for complex and quaternionic hyperbolic pairs

1 citations · 1 across the 6 of their papers we have counts for

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math.GT2026

Trace Coordinates and Local Fenchel--Nielsen Parameters in Real Hyperbolic 5-Space

Krishnendu Gongopadhyay, Sagar B. Kalane, Abhishek Mukherjee

We study representations of fundamental groups of closed orientable surfaces into $\mathrm{SL}(2,\mathbb{H})$, whose projectivization $\mathrm{PSL}(2,\mathbb{H})$ is the group…

math.GT2022

Free groups generated by two parabolic maps

Sagar B. Kalane, John R. Parker

In this paper we consider a group generated by two unipotent parabolic elements of $SU (2, 1)$ with distinct fixed points. We give several conditions that guarantee the group i…

math.GT2019★ 1 cited

Local coordinates for complex and quaternionic hyperbolic pairs

Krishnendu Gongopadhyay, Sagar B. Kalane

Let $G (n) = Sp (n, 1)$ or $SU (n, 1)$ . We classify conjugation orbits of generic pairs of loxodromic elements in $G (n)$ . Such pairs, called `non-singular', were introduced by…

math.GT2018

On Conjugation orbits of semisimple pairs in rank one

Krishnendu Gongopadhyay, Sagar B. Kalane

We consider Lie groups $SU (n, 1)$ and $Sp (n, 1)$ that act as the isometries of the complex and quaternionic hyperbolic spaces respectively. We classify pairs of semisimpl…

math.GT2017

Quaternionic Hyperbolic Fenchel-Nielsen Coordinates

Krishnendu Gongopadhyay, Sagar B. Kalane

Let $S p (2, 1)$ be the isometry group of the quaternionic hyperbolic plane $H_{H}^{2}$ . An element $g$ in $S p (2, 1)$ is `hyperbolic' if it fixes exactly two points on th…