AbstractWe give a simple heat equation proof of Demailly's asymptotic inequalities for the ∂ complex
Differential operators that are defined on a differentiable manifold can be used to study various pr...
We develop the theory of twisted L²-cohomology and twisted spectral invariants for flat Hilbertian b...
A review is presented of some recent progress in spectral geometry on manifolds with boundary: local...
AbstractWe give a simple heat equation proof of Demailly's asymptotic inequalities for the ∂ complex
This thesis consists of two parts. In part I, we prove equivariant Morse inequalities via Bismut-Leb...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
Let X be a compact complex manifold with boundary and let L-k be a high power of a hermitian holomor...
We give simple and unified proofs of weak holomorhpic Morse inequalities on complete manifolds, $q$-...
In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Wit...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.Includes bibliogr...
We examine the local super trace asymptotics for the de Rham complex defined by an arbitrary super c...
AbstractThe leading asymptotics for the growth of the number of eigenvalues of the two-dimensional D...
The short-time heat kernel expansion of elliptic operators provides a link between local and global ...
We describe the small-time heat kernel asymptotics of real powers $\Delta^r$, $r \in (0,1)$ of a non...
AbstractUpper bounds are obtained for the heat content of an open set D in a complete Riemannian man...
Differential operators that are defined on a differentiable manifold can be used to study various pr...
We develop the theory of twisted L²-cohomology and twisted spectral invariants for flat Hilbertian b...
A review is presented of some recent progress in spectral geometry on manifolds with boundary: local...
AbstractWe give a simple heat equation proof of Demailly's asymptotic inequalities for the ∂ complex
This thesis consists of two parts. In part I, we prove equivariant Morse inequalities via Bismut-Leb...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
Let X be a compact complex manifold with boundary and let L-k be a high power of a hermitian holomor...
We give simple and unified proofs of weak holomorhpic Morse inequalities on complete manifolds, $q$-...
In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Wit...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.Includes bibliogr...
We examine the local super trace asymptotics for the de Rham complex defined by an arbitrary super c...
AbstractThe leading asymptotics for the growth of the number of eigenvalues of the two-dimensional D...
The short-time heat kernel expansion of elliptic operators provides a link between local and global ...
We describe the small-time heat kernel asymptotics of real powers $\Delta^r$, $r \in (0,1)$ of a non...
AbstractUpper bounds are obtained for the heat content of an open set D in a complete Riemannian man...
Differential operators that are defined on a differentiable manifold can be used to study various pr...
We develop the theory of twisted L²-cohomology and twisted spectral invariants for flat Hilbertian b...
A review is presented of some recent progress in spectral geometry on manifolds with boundary: local...
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