Holt Bodish

activity

20202024

collaborators

4 papers

math.GT2024

Genus, Fiberedness, $τ$ and $ε$ of Satellite Knots with $n$ -Twisted Generalized Mazur patterns

Holt Bodish

We study a family of $(1, 1)$ -pattern knots that generalize the Mazur pattern, and compute the concordance invariants $τ$ and $ε$ of $n$ -twisted satellites formed from these pattern…

math.GT2023

Some Three and Four-Dimensional Invariants of Satellite Knots with (1,1)-Patterns

Holt Bodish

We use bordered Floer homology, specifically the immersed curve interpretation of the bordered pairing theorem, to compute various three- and four-dimensional invariants of satelli…

math.GT2022

Obstructing Reducible Surgeries: Slice Genus and Thickness Bounds

Holt Bodish, Robert DeYeso

In this paper, we study reducible surgeries on knots in $S^{3}$ . We develop thickness bounds for L-space knots that admit reducible surgeries, and lower bounds on the slice genus for…

math.GT2020

Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots

Holt Bodish

We show that there are prime knots so that the Steenrod operations of Lipshitz and Sarkar arXiv:1204.5776 are non trivial on their Khovanov homology. This answers a question posed…

Genus, Fiberedness, τ and ε of Satellite Knots with n-Twisted Generalized Mazur patterns

Some Three and Four-Dimensional Invariants of Satellite Knots with (1,1)-Patterns

Obstructing Reducible Surgeries: Slice Genus and Thickness Bounds

Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots

Genus, Fiberedness, $τ$ and $ε$ of Satellite Knots with $n$ -Twisted Generalized Mazur patterns