Papers and preprints
Published version may
differ from the one posted on this page, e-mail
me if you wish to receive reprints
The Dirac operator on generalized Taub-NUT spaces [pdf] (with Andrei
Moroianu).
Eta invariant and
Selberg Zeta function of odd type over
convex co-compact hyperbolic manifolds [pdf]
(with Colin Guillarmou
and Jinsung
Park), to appear in Advances Math.
Regularity of the eta function on manifolds with cusps [pdf]
(with Paul Loya
and Jinsung
Park).
Quasi-fuchsian manifolds with particles [pdf]
(with Jean-Marc
Schlenker), J. Differential Geometry 83
(2009), 75-129.
The spectrum of k-form Schrödinger Laplacians on
conformally cusp
manifolds [pdf]
(with Sylvain
Golénia), to appear in Trans Amer. Math. Soc.
Adiabatic limit of the eta invariant over cofinite quotients
of
PSL(2,R) [pdf]
(with Paul Loya
and Jinsung
Park), Compositio Math. 144
(2008), 1593-1616.
Spectral analysis of magnetic Laplacians on conformally
cusp manifolds
[pdf] (with Sylvain
Golénia), Ann. Henri Poincaré 9 (2008),
131-179.
Weyl laws on open manifolds [pdf],
Math. Annalen 340 (2008), 1-21.
Index and homology of
pseudodifferential operators on
manifolds with boundary [pdf]
(with Victor Nistor),
Perspectives Oper. Algebras Math. Phys., Theta (2008), 123-148.
The Dirac spectrum on manifolds with gradient conformal
vector
fields
[pdf] (with Andrei
Moroianu), J. Funct. Analysis 253
(2007), 207-219.Fibered cusp versus d-index theory
[pdf], Rend. Semin. Mat. Padova 117
(2007), 193-203.
On the structure of
quantum permutation groups
[pdf]
(with Teodor Banica),
Proc. Amer. Math. Soc. 135 (2007), 21-29.
On Carvalho's K-theoretic formulation of the
cobordism
invariance of the index [pdf], Proc.
Amer. Math. Soc. 134 (2006), 3395-3404.
L^2-index of the Dirac operator of generalized Euclidean
Taub-NUT
metrics [pdf]
(with Mihai Vişinescu),
J. Phys. A - Math. Gen. 39 (2006), 6575-6581.
On the L^p index of spin Dirac operators on conical manifolds
[pdf]
(with André
Legrand), Studia Math. 177 (2006), 97-112.
Gravitational and axial anomalies for generalized Euclidean
Taub-NUT metrics
[pdf]
(with Ion Cotăescu
and Mihai Vişinescu),
J. Phys. A - Math. Gen. 38 (2005), 7005-7019.
An index formula on manifolds with fibered cusp ends [pdf]
(with Robert Lauter), J. Geom. Analysis 15 (2005), 261-283.
Cusp geometry and the cobordism invariance of the index [pdf], Advances Math. 194 (2005),
504-519.
Homology of adiabatic pseudo-differential operators [dvi], Nagoya Math. J. 175 (2004),
171-221.
Adiabatic limits of eta and zeta functions of elliptic
operators [ps],
Math. Zeitschrift 246
(2004), 441-471.
Heat Kernel Asymptotics for Roots of Generalized Laplacians
[ps] (with Christian Bär),
Int. J. Math. 14 (2003), 397-412.
K-Theory of suspended pseudo-differential operators [ps], K-Theory 28 (2003),
167-181.
Homology of pseudodifferential operators on manifolds with
fibered cusps [dvi]
(with Robert Lauter), Trans. Amer. Math. Soc. 355 (2003),
3009-3046.
Sur la limite adiabatique des fonctions eta et zeta [dvi], C. R.
Acad. Sci. I-Math. 334 (2002), 131-134.
The index of cusp operators on manifolds with corners [dvi] (with
Robert Lauter), Ann. Global Anal. Geom. 21 no.
1 (2002), 31-49.
Homology of pseudo-differential operators on manifolds with
fibered boundaries [dvi] (with
Robert Lauter), J. Reine Angew. Math. 547
(2002), 207-234.
Fredholm Theory for degenerate pseudodifferential operators
on manifolds with fibered boundaries [dvi]
(with Robert Lauter), Comm. Partial Diff. Equations 26
(2001), 233-285.
On the index formula of Melrose and Nistor [dvi] (with
Robert Lauter), IMAR preprint 3/2000.
Thesis [
ps] and my former PhD advisor Richard
B. Melrose.
modificat ultima dată: 30 martie 2010