Large homomorphisms on the homotopy lie coalgebra

TL;DR

This paper introduces large homomorphisms on the homotopy lie coalgebra, extending Levin's concept, and proves new cases of a Quillen-related conjecture in this context.

Contribution

It defines a new variant of large homomorphisms on the homotopy lie coalgebra and applies it to establish new results related to a Quillen conjecture analog.

Findings

Established new cases of a homotopy lie coalgebra analog of Quillen's conjecture.

Introduced and studied the concept of large homomorphisms on the homotopy lie coalgebra.

Abstract

We introduce and study a notion of large homomorphisms on the homotopy lie coalgebra; these homomorphisms are a variant of the large homomorphisms of Levin. As a consequence of our work, we establish new cases of a homotopy lie coalgebra analog of a conjecture of Quillen as proposed by Briggs.