Topological Hochschild homology of l and ko

TL;DR

This paper computes the integral homotopy groups of topological Hochschild homology for specific spectra, namely l and ko, at various primes, providing detailed algebraic invariants relevant to algebraic topology.

Contribution

It provides explicit calculations of THH(l) and THH(ko) homotopy groups at different primes, advancing understanding of their algebraic structures.

Findings

Homotopy groups of THH(l) calculated at all primes.

Homotopy groups of THH(ko) computed at p=2.

Enhanced understanding of algebraic invariants in algebraic topology.

Abstract

We calculate the integral homotopy groups of THH(l) at any prime and of THH(ko) at p=2, where l is the Adams summand of the connective complex p-local K-theory spectrum and ko is the connective real K-theory spectrum.