Suman Saurabh

collaborators

5 papers

math.GT2026

Exceptional pretzel knots are not algebraically slice

Suman Saurabh

We consider the three-strand pretzel knot $P_{a} = P (a, - a - 2, - (a + 1)^{2} /2)$ and prove that, when $a \equiv 1 (mod 4)$ , its Alexander polynomial fails the Fox--Milnor condition. The same remai…

math.GT2026

Annular Khovanov homology detects three-strand weaving links

Suman Saurabh

For $N \geq 1$ , let $K_{N}$ be the annular closure of $(σ_{1} σ_{2}^{- 1})^{N} .$ We prove that triply graded annular Khovanov homology over $F_{2}$ detects the underlying unoriented annu…

math.GT2026

Equivariant rational sliceness and Klein amphichirality of odd-stranded Turk's head knots

Suman Saurabh

We establish a sharp parity dichotomy for the equivariant $Q$ -sliceness and Klein amphichirality of odd-stranded Turk's head knots. When the twisting parameter $q$ is odd,…

math.GT2026

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links

Suman Saurabh

We prove Fox's trapezoidal conjecture for the four-strand Turk's head knots and links $T h (4, q)$ , for all $q \geq 1$ . Equivalently, we show that the absolute values of the coefficien…

math.GT2026

Spectral Factorization and Hypergeometric Representations of the Alexander Polynomials of $T h (4, 2 n + 1)$

Suman Saurabh

We study the Alexander polynomials of the 4-strand Turk's head knots $T h (4, 2 n + 1)$ , defined as the closures of the braid $(σ_{1} σ_{2}^{- 1} σ_{3})^{2 n + 1}$ . Using the reduced Burau represent…

Exceptional pretzel knots are not algebraically slice

Annular Khovanov homology detects three-strand weaving links

Equivariant rational sliceness and Klein amphichirality of odd-stranded Turk's head knots

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links

Spectral Factorization and Hypergeometric Representations of the Alexander Polynomials of Th(4,2n+1)

Spectral Factorization and Hypergeometric Representations of the Alexander Polynomials of $T h (4, 2 n + 1)$