Krishnendu Gongopadhyay

activity

20052026

most citedPalindromic Automorphisms of Free Groups

10 citations · 55 across the 60 of their papers we have counts for

collaborators

78 papers

math.AG2026

Reversible Higgs Bundles

Krishnendu Gongopadhyay, Tathagata Nayak

We study reversible Higgs bundles on a compact Riemann surface $Σ$ of genus $g \geq 2$ , that is, $G$ -Higgs bundles $(E, Φ)$ with $(E, Φ) ≅ (E, - Φ)$ . For a complex reductive group $G$ …

math.DS2026

Twisted Patterson-Sullivan densities on nilpotent covers for Anosov subgroups

Krishnendu Gongopadhyay, Neelanjan Mondal

Let $Γ < SL (d, R)$ be a torsion-free, Zariski-dense Borel-Anosov subgroup, and let $φ$ be a linear functional positive on the limit cone of $Γ$ . For every $χ\in \oper…

math.RT2026

Breaker Chains and Splitting of Interval Submodules in Zigzag Modules

Krishnendu Gongopadhyay, Ramveer Singh

Finite-dimensional zigzag modules decompose into interval modules. For an ordinary persistence module, every fully supported interval submodule of a restriction splits as a direct…

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.GR2026

Reversibility and its asymptotic counting in Picard group

Debattam Das, Krishnendu Gongopadhyay, Anirban Mukhopadhyay

We investigate reversible elements in the Picard modular group $PSL (2, Z [i])$ . We show that reversibility coincides with strong reversibility for Kleinian groups,…

math.GR2026

On the Product of Coninvolutory Affine Transformations

Sandipan Dutta, Krishnendu Gongopadhyay, Rahul Mondal

A complex matrix is called \emph{coninvolutory} if $T T = I$ . In this paper, we study decompositions of affine transformations in $\mathrm{Aff}(n,\mathbb{C})=\mathrm{GL}(n,…

math.GT2026

Combinatorial Structure of Inert and Ambiguous Classes in Modular Group

Debattam Das, Krishnendu Gongopadhyay, Khushi Mishra

We study inert, and ambiguous conjugacy classes in the modular group $PSL (2, Z)$ from a purely combinatorial perspective. Using word length in the free product rep…

math.DS2026

Reversibility and symmetry of affine toral automorphisms

Kuntal Banerjee, Anubrato Bhattacharyya, Krishnendu Gongopadhyay +1

We study reversibility and strong reversibility of affine automorphisms of the two-torus, written as $f_{A, a ˉ} (x ˉ) = A x ˉ + a ˉ (mod Z^{2})$ . We de…

math.GT2025

Thurston's asymmetric metric on Margulis spacetimes

Krishnendu Gongopadhyay, Neelanjan Mondal

In this article, we extend Thurston's asymmetric metric and the associated Finsler norm, originally defined for Teichmüller space, to the setting of Margulis spacetimes. We also es…

math.GR2025

Classification of Quaternionic Projective Transformations by Equicontinuity Regions

Sandipan Dutta, Krishnendu Gongopadhyay, Rahul Mondal

We describe the equicontinuity regions of cyclic subgroups of the quaternionic projective linear group $PSL (n + 1, H)$ . We show that these regions depend solely on t…

math.GR2025

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature $(n, 1)$

Krishnendu Gongopadhyay, Sagar B. Kalane

Let $PSp (n, 1)$ denote the isometry group of quaternionic hyperbolic $n$ --space $\h^n$. A pair $(g_{1}, g_{2}) \in PSp (n, 1)^{2}$ is \emph{strongly doubly reversible} if $(g…

math.GT2025

Functorial Free Group from Anosov Representations on Bundles

Krishnendu Gongopadhyay, Tathagata Nayak

Let $ρ : Γ \to G$ be an Anosov representation, with $Γ$ a word hyperbolic group and $G$ a semisimple Lie group. Previous works (Guichard--Wienhard, Kapovich--Leeb--Porti, and Carvaja…

math.GR2025

Conjugate reversibility in complex special linear groups

Krishnendu Gongopadhyay, Rahul Mondal

We introduce and study conjugate reversibility (or $c$ -reversibility) in the complex special linear group $\SL(n,\C)$ where an element is conjugate to the inverse of its complex co…

math.GR2025

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups

Debattam Das, Krishnendu Gongopadhyay

We estimate the asymptotic growth of reciprocal conjugacy classes in Hecke groups using their free product structure and word lengths of reciprocal elements. Our approach is differ…

math.GT2025

On the domination of surface-group representations in $PU (2, 1)$

Pabitra Barman, Krishnendu Gongopadhyay

This article explores surface-group representations into the complex hyperbolic group $PU (2, 1)$ and presents domination results for a special class of representations call…

math.GT2025

Equidistant Hypersurfaces Of The Complex Bidisk $H_{C}^{2} \times H_{C}^{2}$

Krishnendu Gongopadhyay, Lokenath Kundu, Aditya Tiwari

We consider the isometries of the complex hyperbolic bidisk, that is, the product space $H_{C}^{2} \times H_{C}^{2}$ , where each factor $ \mathbb{H…

math.GR2025

Kulkarni limit sets for cyclic quaternionic projective groups

Sandipan Dutta, Krishnendu Gongopadhyay, Rahul Mondal

We consider the natural action of the quaternionic projective linear group $PSL (n + 1, H)$ on the quaternionic projective space $P_{H}^{n}$ . We compu…

math.GR2024

On the almost palindromic width of certain free constructions of groups

Krishnendu Gongopadhyay, Shrinit Singh

We provide a general structural criterion implying that a group has infinite $m$ -almost palindromic width. In particular, we prove that both HNN extensions and free products exhibi…

math.GR2024

On the $z$ -classes of Palindromic automorphisms of Free Groups

Krishnendu Gongopadhyay, Lokenath Kundu, Shashank Vikram Singh

The palindromic automorphism group is a subgroup of the automorphism group $A u t (F_{3}) .$ We establish a necessary and sufficient condition for a matrix in $G L_{n} (Z)$ represen…

math.GR2024

Spherical growth of reciprocal classes in the Hecke Groups

Debattam Das, Krishnendu Gongopadhyay

Let $r \in Z$ , $r > 2$ , and let $Γ_{2 r} ≅ (Z /2 Z) * (Z /2 r Z)$ be the Hecke group. Let $N_{ℓ}$ denote the set of conjugacy…

math.GR2024

Product of two involutions in quaternionic special linear group

Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity

An element of a group is called reversible if it is conjugate to its own inverse. Reversible elements are closely related to strongly reversible elements, which can be expressed as…

math.GT2024

On Character Variety of Anosov Representations

Krishnendu Gongopadhyay, Tathagata Nayak

Let $Γ$ be the fundamental group of a $k$ -punctured, $k \geq 0$ , closed connected orientable surface of genus $g \geq 2$ . We show that the character variety of the $(Q^{+}, Q^{-})$ -Ano…

math.GR2024

The Dehn function for Palindromic Sub-Group of $A u t (F_{n})$

Krishnendu Gongopadhyay, Lokenath Kundu

In this paper, we prove that the Dehn function of the palindromic automorphism group $Π A (F_{n})$ is exponential.

math.GR2024

A note on adjoint reality in simple complex Lie algebras

Krishnendu Gongopadhyay, Chandan Maity

Let $G$ be a Lie group with Lie algebra $g$ . In the paper "Reality of unipotent elements in simple Lie groups, Bull. Sci. Math., 185, 2023, 103261" by K. Gongopadhyay and…

Reversible Higgs Bundles

Twisted Patterson-Sullivan densities on nilpotent covers for Anosov subgroups

Breaker Chains and Splitting of Interval Submodules in Zigzag Modules

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

Reversibility and its asymptotic counting in Picard group

On the Product of Coninvolutory Affine Transformations

Combinatorial Structure of Inert and Ambiguous Classes in Modular Group

Reversibility and symmetry of affine toral automorphisms

Thurston's asymmetric metric on Margulis spacetimes

Classification of Quaternionic Projective Transformations by Equicontinuity Regions

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature (n,1)

Functorial Free Group from Anosov Representations on Bundles

Conjugate reversibility in complex special linear groups

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups

On the domination of surface-group representations in PU(2,1)

Equidistant Hypersurfaces Of The Complex Bidisk HC2​×HC2​

Kulkarni limit sets for cyclic quaternionic projective groups

On the almost palindromic width of certain free constructions of groups

On the z-classes of Palindromic automorphisms of Free Groups

Spherical growth of reciprocal classes in the Hecke Groups

Product of two involutions in quaternionic special linear group

On Character Variety of Anosov Representations

The Dehn function for Palindromic Sub-Group of Aut(Fn​)

A note on adjoint reality in simple complex Lie algebras

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature $(n, 1)$

On the domination of surface-group representations in $PU (2, 1)$

Equidistant Hypersurfaces Of The Complex Bidisk $H_{C}^{2} \times H_{C}^{2}$

On the $z$ -classes of Palindromic automorphisms of Free Groups

The Dehn function for Palindromic Sub-Group of $A u t (F_{n})$