Bar Codes of Persistent Cohomology and Arrhenius Law for P-forms

📖 The Scoop

"This book shows that counting or computing the small eigenvalues of the Witten Laplacian in the semi-classical limit can be done without assuming, as the authors did in a previous article, that the potential is a Morse function. In connection with persistent cohomology, the authors prove that the rescaled logarithms of these small eigenvalues are asymptotically determined by the lengths of the bar code of the potential function. In particular, this proves that these quantities are stable in the uniform convergence topology of the space of continuous functions. Additionally, the authors' analysis provides a general method for computing the subexponential corrections in a large number of cases"--From publisher's website.

Genre: No Category (fancy, right?)