Amitesh Datta

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20202023

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math.RT2022

A strong characterization of the entries of the Burau matrices of $4$ -braids: The Burau representation of the braid group $B_{4}$ is faithful almost everywhere

Amitesh Datta

We establish strong constraints on the kernel of the (reduced) Burau representation $β_{4} : B_{4} \to GL_{3} (Z [q^{\pm 1}])$ of the braid group $B_{4}$ .…

math.NT2022

A novel connection between integral binary quadratic forms and knot polynomials

Amitesh Datta

We establish a novel connection between algebraic number theory and knot theory. We show that the number of equivalence classes of integral binary quadratic forms of discriminant $…

A strong characterization of the entries of the Burau matrices of 4-braids: The Burau representation of the braid group B4​ is faithful almost everywhere

A novel connection between integral binary quadratic forms and knot polynomials

A strong characterization of the entries of the Burau matrices of $4$ -braids: The Burau representation of the braid group $B_{4}$ is faithful almost everywhere