Frédéric Rochon

Publications

UQAM Ð UniversitŽ du QuŽbec ˆ MontrŽal




W. Müller et F. Rochon, Growth of torsion in the cohomology of some arithmetic groups of Q-rank one
pré-publication.

R.J. Conlon et F. Rochon, Warped quasi-asymptotically conical Calabi-Yau metrics
pré-publication.

C. Kottke et F. Rochon, L2-cohomology of quasi-fibered boundary metrics
pré-publication.

C. Kottke et F. Rochon, Quasi-fibered boundary pseudodifferential operators
pré-publication.

C. Kottke et F. Rochon, Products of manifolds with fibered corners
Ann. Global Anal. Geom. (2023) no.2, 9, 61 pages.

C. Kottke et F. Rochon, Low energy limit for the resolvent of some fibered boundary operators
Commun. Math. Phys., 390 (2022) no.1, 231-307.

P. Albin, F. Rochon et D. Sher, A Cheeger-Müller theorem for manifolds with wedge singularities
Anal. PDE 15 (2022), no.3, 567-642.

R.J. Conlon et F. Rochon, New examples of complete Calabi-Yau metrics on ℂn for n≥ 3
Ann. Sci. Éc. Norm. Supér (4) 54 (2021), no.2, 259-303.

P. Albin, F. Rochon et D. Sher, Resolvent, heat kernel and torsion under degeneration to fibred cusps
Mem. Amer. Math. Soc. 269 (2021), no. 1314.

E. Bahuaud et F. Rochon, Geometrically finite Poincaré-Einstein metrics
Commun. Math. Phys., 377 (2020), 2159-2189.

W. Müller et F. Rochon, Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds
Math. Z. 298 (2021), no.1-2, 79-106.

W. Müller et F. Rochon, Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps
Geom. Funct. Anal. 30 (2020), 910-954.

R.J. Conlon, A. Degeratu et F. Rochon, Quasi-asymptotically conical Calabi-Yau manifolds
Geom. Topol. 23 (2019), no.1, 29-100.

P. Albin, F. Rochon et D. Sher, Analytic torsion and R-torsion of Witt representations on manifolds with cusps
Duke Math. J. 167 (2018), no.10, 1883-1950.

C. Guillarmou, S. Moroianu et F. Rochon, Renormalized volume on the Teichmüller space of punctured surfaces
Ann. Sc. Norm. Super. Pisa. (5) 17 (2017), no.1, 323-384.

R.J. Conlon, R. Mazzeo et F. Rochon, The moduli space of asymptotically cylindrical Calabi-Yau manifolds
Comm. Math. Phys. 338 (2015), 953-1009.

E. Hunscicker et F. Rochon, Hodge cohomology of iterated fibred cusp metrics on Witt spaces
Annales mathématiques du Québec 39 (2015), no.2, 177-184.

C. Debord, J.-M. Lescure et F. Rochon, Pseudodifferential operators on manifolds with fibred corners
Annales de l'institut Fourier 65 (2015), no.4, 1799-1880.

F. Rochon, Polyhomogénéité des métriques asymptotiquement hyperboliques complexes le long du flot de Ricci
J. Geom. Anal. 25 (2015), no.3, 2103-2132.

J. Gell-Redman et F. Rochon, Hodge cohomology of some foliated boundary and foliated cusp metrics
Math. Nachr. 288 (2015), no. 2-3, 206-223.

P. Albin, C. Aldana et F. Rochon, Compactness of relatively isospectral sets of surfaces via conformal surgeries
J. Geom. Anal. 25 (2015), no.2, 1185-1210.

P. Albin et F. Rochon, Some index formulae on the moduli space of stable parabolic vector bundles
J. Aust. Math. Soc. 94 (2013), 1-37.

P. Albin, C. Aldana et F. Rochon, Ricci flow and the determinant of the Laplacian on non-compact surfaces
Comm. Partial Differential Equations 38 (2013), 711-749.

F. Rochon et Z. Zhang, Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds
Adv. Math., 235 (2012), 2892-2952.

F. Rochon, Pseudodifferential operators on manifolds with foliated boundaries
Journal of Functional Analysis 262 (2012), 1309-1362

F. Rochon, On the uniqueness of certain families of holomorphic disks
Trans. Amer. Math. Soc., 363 (2011), no.2, 633-657.

R.B. Melrose et F. Rochon, Eta forms and the odd pseudodifferential families index
Surveys in Differential Geometry, 15 (2010), 279-322.

P. Albin et F. Rochon, A local families index formula for d-bar operators on punctured Riemann surfaces
Comm. Math. Phys. 289 (2009), no.2, 483-527.

P. Albin et F. Rochon, Families index for manifolds with hyperbolic cusp singularities
Int. Math. Res. Not. IMRN 2009, no. 4, 625--697.

F. Rochon, Sur la topologie des opérateurs pseudodifférentiels inversibles d'ordre 0
Annales de l'institut Fourier, 58 no. 1 (2008), 29-62

R.B. Melrose et F. Rochon, Boundaries, eta invariant and the determinant bundle
C*-algebras and elliptic theory II 2006, Trends in Math, Birkhauser,149-181.

R.B. Melrose et F. Rochon, Periodicity and the determinant bundle
Comm. Math. Phys. 274 (2007), no.1, 141-186.

R.B. Melrose et F. Rochon, Index in K-theory for Families of Fibred Cusp Operators
K-theory 37 (2006), 25-104.

F. Rochon, Bott Periodicity for Fibred Cusp Operators
J. Geom. Anal. 15 (2005), no. 4, 685--722.

R.B. Melrose et F. Rochon, Families Index for Pseudodifferential Operators on Manifolds with Boundary
Int. Math. Res. Not. 2004, no. 22, 1115--1141.

F. Rochon, Rigidity of Hamiltonian Actions
Canad. Math. Bull. 46 (2003), no. 2, 277--290.