J. A. Álvarez López

activity

19962026

most citedSecondary characteristic classes of transversely homogeneous foliations

2 citations · 8 across the 13 of their papers we have counts for

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4 papers · 1 filter

math.DG2021

Zeta invariants of Morse forms

Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam

Let $η$ be a closed real 1-form on a closed Riemannian $n$ -manifold $(M, g)$ . Let $d_{z}$ , $δ_{z}$ and $Δ_{z}$ be the induced Witten's type perturbations of the de~Rham derivative and cod…

math.DG2015

Witten's perturbation on strata with general adapted metrics

Jesús A. Álvarez López, Manuel Calaza, Carlos Franco

Let $M$ be a stratum of a compact stratified space $A$ . It is equipped with a general adapted metric $g$ , which is slightly more general than the adapted metrics of Nagase and Bras…

math.DG2012

Witten's perturbation on strata

Jesús A. Álvarez López, Manuel Calaza

The main result is a version of Morse inequalities for the minimum and maximum ideal boundary conditions of the de Rham complex on strata of compact Thom-Mather stratifications, en…

math.DG1999

Adiabatic limits and spectral sequences for Riemannian foliations

Jesus A. Alvarez Lopez, Yuri A. Kordyukov

For general Riemannian foliations, spectral asymptotics of the Laplacian is studied when the metric on the ambient manifold is blown up in directions normal to the leaves (adiabati…