activity
19952024
most citedThe refined analytic torsion and a well-posed boundary condition for the odd signature operator

9 citations · 11 across the 14 of their papers we have counts for

collaborators

14 papers

math.DG2024

The zeta-determinants and anlaytic torsion of a metric mapping torus

Yoonweon Lee

We use the BFK-gluing formula for zeta-determinants to compute the zeta-determinant and analytic torsion of a metric mapping torus induced from an isometry. As applications, we com…

math.DG2024

The zeta-determinant of the Dirichlet-to-Neumann operator of the Steklov Problem on forms

Klaus Kirsten, Yoonweon Lee

On a compact Riemannian manifold with boundary , we express the log of the zeta-determinant of the Dirichlet-to-Neumann operator acting on -forms on as the difference…

math.DG2023

The BFK type gluing formula of zeta-determinants for the Robin Boundary condition

Klaus Kirsten, Yoonweon Lee

In this paper we discuss the BFK type gluing formula for zeta-determinants of Laplacians with respect to the Robin boundary condition on a compact Riemannian manifold. As a special…

math.DG2020

Virtually small spectral package of a Riemannian manifold

Dan Burghelea, Yoonweon Lee

For a Morse function on a closed orientable Riemannian manifold one introduces the {\it virtually small spectral package} an analytic object consisting of a finite number of analyt…

math.DG2019

The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface

Klaus Kirsten, Yoonweon Lee

In the proof of the BFK-gluing formula for zeta-determinants of Laplacians there appears a real polynomial whose constant term is an important ingredient in the gluing formula. Thi…

math.DG2014

Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions

Rung-Tzung Huang, Yoonweon Lee

In [8] the authors introduced a pair of new de Rham complexes on a compact oriented Riemannian manifold with boundary by using a pair of new boundary conditions to discuss the refi…