2 papers
math.FA2026
Arveson's Gauss-Bonnet-Chern Formula for Hilbert Modules in the Multiplier-Algebra Framework
Penghui Wang, Ruoyu Zhang, Zeyou Zhu
The present paper continues Arveson's program on curvature, Euler characteristic, and Gauss-Bonnet-Chern type formulae for Hilbert modules. For regular unitarily invariant complete…
math.FA2026
Arveson's version of the Gauss-Bonnet-Chern formula for Hilbert modules over the polynomial rings
Penghui Wang, Ruoyu Zhang, Zeyou Zhu
In this paper, we refine the framework of Arveson's version of the Gauss-Bonnet-Chern formula by proving that a submodule in the Drury-Arveson module being locally algebraic is equ…