Boundary Cohomology of Sp6(Z): Trivial Representation

TL;DR

This paper computes the boundary cohomology of Sp6(Z) with trivial coefficients using Borel-Serre compactification and spectral sequences.

Contribution

It provides the first explicit calculation of boundary cohomology for Sp6(Z) with trivial coefficients.

Findings

Boundary cohomology of Sp6(Z) computed explicitly

Utilizes Borel-Serre compactification and spectral sequence methods

Results contribute to understanding arithmetic group cohomology

Abstract

In this article, we compute the boundary cohomology of the arithmetic group Sp6(Z) with coefficients in the trivial representation. Our computation utilizes the Borel-Serre compactification and the associated spectral sequence.