G. Katz

activity

19972025

most citedPolynomial Interpretation of Multipole Vectors

51 citations · 57 across the 28 of their papers we have counts for

collaborators

Showing math.GTShow all

18 papers · 1 filter

math.GT2023

On immersions and embeddings with trivial normal line bundles

Gabriel Katz

Let $Z$ be a smooth compact $(n + 1)$ -manifold. We study smooth embeddings and immersions $β : M \to Z$ of compact or closed $n$ -manifolds $M$ such that the normal line bundle $ν^{β}$ i…

math.GT2023

Doodles and blobs on a lined page: convex quasi-envelops of traversing flows on surfaces

Gabriel Katz

Let $A$ denote the cylinder $R \times S^{1}$ or the band $R \times I$ , where $I$ stands for the closed interval. We consider $2$ -{\sf moderate immersions} of closed c…

math.GT2023

Algebras of smooth functions and holography of traversing flows

Gabriel Katz

Let $X$ be a smooth compact manifold and $v$ a vector field on $X$ which admits a smooth function $f : X \to R$ such that $df (v) > 0$ . Let $\partial X$ be the boundary of $X…

math.GT2022

Spaces of polynomials with constrained divisors as Grassmanians for traversing flows

Gabriel Katz

We study {\sf traversing} vector flows $v$ on smooth compact manifolds $X$ with boundary. For a given compact manifold $X^$ , equipped with a traversing vector field $v^$ wh…

math.GT2022

Spaces of polynomials as Grassmanians for immersions and embeddings

Gabriel Katz

Let $Y$ be a smooth compact $n$ -manifold. We study smooth embeddings and immersions $β : M \to R \times Y$ of compact $n$ -manifolds $M$ such that $β (M)$ avoids some a priory…

math.GT2018

The Disk-Based Origami Theorem and a Glimpse of Holography for Traversing Flows

Gabriel Katz

This paper describes a mechanism by which a traversally generic flow $v$ on a smooth connected manifold $X$ with boundary produces a compact $C W$ -complex $T (v)$ , which is…