# Positive specializations of symmetric Grothendieck polynomials

## TL;DR

This paper explores positive specializations of symmetric Grothendieck polynomials, extending classical results on Schur-positive specializations to a $K$-theoretic context, providing new insights into their structure.

## Contribution

It characterizes positive specializations of symmetric Grothendieck polynomials, generalizing the Edrei-Thoma theorem to a $K$-theoretic setting.

## Key findings

- Characterization of positive specializations of symmetric Grothendieck polynomials
- Extension of classical total positivity results to $K$-theoretic deformations
- New parametrization describing these specializations

## Abstract

It is a classical fundamental result that Schur-positive specializations of the ring of symmetric functions are characterized via totally positive functions whose parametrization describes the Edrei-Thoma theorem. In this paper we study positive specializations of symmetric Grothendieck polynomials, $K$-theoretic deformations of Schur polynomials.