Publicações Publications

2026

1. 
   Divided differences and multivariate holomorphic calculus
   Hartmann, L.; Lesch, M.
   Documenta Mathematica, (2026), published on-line first. DOI

2025

1. 
   Cheeger–Müller theorem for a wedge singularity along an embedded submanifold
   Hartmann, L.; Vertman, B.
   Revista Matemática Complutense, 38 (2025), 343–355. DOI

2023

1. 
   Rotational surfaces with second fundamental form of constant length
   Barreto, A. P.; Fontenele, F.; Hartmann, L.
   Communications in Analysis and Geometry, 31 (2023), 2227–2254. DOI
2. 
   Curvature estimates for graphs in warped product spaces
   Coswosck, F. A.; Barreto, A. P.; Hartmann, L.
   Differential Geometry and its Applications, 86 (2023), 101973. DOI
3. 
   Normalized Yamabe flow on manifolds with bounded geometry
   Caldeira, B.; Hartmann, L.; Vertman, B.
   Annals of Global Analysis and Geometry, 63 (2023), 1–32. DOI

2022

1. 
   Zeta and Fredholm determinants of self-adjoint operators
   Hartmann, L.; Lesch, M.
   Journal of Functional Analysis, 283 (2022), 109491. DOI
2. 
   On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces
   Barreto, A. P.; Fontenele, F.; Hartmann, L.
   Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152 (2022), 1081–1088. DOI
3. 
   Ensino não presencial de Cálculo 3: relato de experiência
   Lima, M. V. A.; Talpo, H. L.; Hartmann, L.
   Professor de Matemática Online, 10 (2022), 320–331. DOI

2021

1. 
   Resolvent trace asymptotics on stratified spaces
   Hartmann, L.; Lesch, M.; Vertman, B.
   Pure and Applied Analysis, 3 (2021), 75–108. DOI

2020

1. 
   Brasselet number and Newton polygons
   Dalbelo, T. M.; Hartmann, L.
   Manuscripta Mathematica, 162 (2020), 241–269. DOI

2019

1. 
   Effective Hamiltonians in surfaces of thin quantum waveguides
   de Oliveira, C. R.; Hartmann, L.; Verri, A. A.
   Journal of Mathematical Physics, 60 (2019), 022101. DOI
2. 
   Zeta determinant of the Laplacian on the real projective spaces
   Hartmann, L.; Spreafico, M.
   International Journal of Number Theory, 15 (2019), 373–388. PeriódicoJournal

2018

1. 
   On the domain of Dirac and Laplace type operators on stratified spaces
   Hartmann, L.; Lesch, M.; Vertman, B.
   Journal of Spectral Theory, 4 (2018), 1295–1348. DOI

2017

1. 
   Analytic torsion of half spheres
   Hartmann, L.; Spreafico, M.
   International Journal of Mathematics, 28 (2017), 1750072. DOI
2. 
   Zeta-determinants of Sturm-Liouville operators with quadratic potentials at infinity
   Hartmann, L.; Lesch, M.; Vertman, B.
   Journal of Differential Equations, 262 (2017), 3431–3465. PeriódicoJournal
3. 
   The analytic torsion of the finite metric cone over a compact manifold
   Hartmann, L.; Spreafico, M.
   Journal of the Mathematical Society of Japan, 69 (2017), 311–371. DOI

2016

1. 
   Inverse mapping theorem and local forms of continuous mappings
   Barreto, A. P.; Fenille, M. C.; Hartmann, L.
   Topology and its Applications, 197 (2016), 10–20. PeriódicoJournal
2. 
   On the Cheeger–Müller theorem for an even-dimensional cone
   Hartmann, L.; Spreafico, M.
   St. Petersburg Mathematical Journal, 27 (2016), 137–154. PeriódicoJournal

2012

1. 
   The boundary term from the analytic torsion of a cone over a m-dimensional sphere
   Hartmann, L.
   Matemática Contemporânea, 43 (2012), 133–169. arXiv
2. 
   R torsion and analytic torsion of a conical frustum
   Hartmann, L.; Spreafico, M.
   Journal of Gökova Geometry and Topology, 6 (2012), 28–57. PeriódicoJournal
3. 
   The analytic torsion of a disc
   Hartmann, L.; Melo, T.; Spreafico, M.
   Annals of Global Analysis and Geometry, 42 (2012), 29–59. DOI

2011

1. 
   The analytic torsion of a cone over an odd dimensional manifold
   Hartmann, L.; Spreafico, M.
   Journal of Geometry and Physics, 61 (2011), 624–657. DOI

2010

1. 
   The analytic torsion of a cone over a sphere
   Hartmann, L.; Spreafico, M.
   Journal de Mathématiques Pures et Appliquées, 93 (2010), 408–435. DOI

2009

1. 
   Reidemeister Torsion and Analytic Torsion of Discs
   Hartmann, L.; Melo, T.; Spreafico, M.
   Bollettino della Unione Matematica Italiana. A, 9 (2009), 529–533. PDF