Invariants preserved by mutation

TL;DR

This paper proves that generalized mutation preserves key geometric invariants like volume and Goncharov invariant in Q-rank 1 locally symmetric spaces, highlighting stability under mutation.

Contribution

It establishes that certain geometric invariants remain unchanged under generalized mutation in specific symmetric spaces.

Findings

Volume is preserved by generalized mutation.

Goncharov invariant remains invariant under mutation.

Supports stability of geometric properties in symmetric spaces.

Abstract

We prove that generalized mutation preserves several geometric invariants such as the volume and Goncharov invariant of Q-rank 1 locally symmetric spaces.