Unavailable
Year: 2025
Type: article
Abstract: This study provides the analysis of nuclear spectral triples and their universal invariants is established, yielding robust classification theorems for topological phases, quantum field theories, and smooth 4--manifolds. Key results include the invariance of the universal invariant under \(\Sigma\)–preserving deformations, rigorous asymptotic expansions of the heat kernel and spectral action, and index–spectral flow correspondences that underpin nuclear Seiberg–Witten and instanton invariants. These findings provide a unified noncommutative approach to geometric and topological analysis.
Author: Francesco D'Agostino
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893211116
FWCI:
Cites:
Cited by:
Related to: