955 Citations
L'invariant ? Pour Les Varits Lipschitziennes
- Physics
- 2000
A method of nondestructively identifying regions "R" of high density in a substrate (10) of a bonded matrix of carbon fibers by resistively heating the substrate and taking an infrared image of the…
On the existence and structure of - algebras of totally characteristic operators on compact manifol
- Physics
- 1997
A shielded anode for use in controlling corrosion, for example, in a truck or a tanker, comprising a perforated plastic shield encompassing the anode and having a hinged flap on opposite sides…
On the index of elliptic operators for the group of dilations
- Mathematics
- 2011
We investigate nonlocal operators associated with the operators of compression and expansion. We obtain an ellipticity condition, which implies that the problem has the Fredholm property, compute the…
An index formula for Toeplitz operators
- Mathematics
- 2015
We prove a Fedosov index formula for the index of Toeplitz operators connected with the Hardy space of solutions to an elliptic system of first-order partial differential equations in a bounded…
On the index of Toeplitz operators of several complex variables
- Mathematics
- 1978
Toeplitz operators on strictly pseudo-convex boundaries of complex domains are defined; they behave like pseudo-differential operators. An extension of the Atiyah-Singer formula is proved for…
An application of the rigidity of Dolbeault-type operators
- Mathematics
- 2013
Suppose a compact, almost-complex manifold admits a compatible circle action. By using the rigidity property and the coefficient of y + 1 in the χy-genus simultaneously, we show that the weights on…
Elliptic genera and quantum field theory
- Physics
- 1987
It is shown that in elliptic cohomology — as recently formulated in the mathematical literature — the supercharge of the supersymmetric nonlinear signa model plays a role similar to the role of the…
S1 actions and elliptic genera
- Mathematics
- 1989
A proof is given of Witten's conjectures for the rigidity of the index of the Dirac-Ramond operator on the loop space of a spin manifold which admits anS1 symmetry.
Polysingular integral operators
- Mathematics
- 1980
SummaryWe study a class of linear singular integral operators of the Cauchy type on the n-torus; an application is given to a boundary value problem for functions of several complex variables.
References
SHOWING 1-9 OF 9 REFERENCES
The index of elliptic operators on compact manifolds
- Mathematics
- 1963
1. A. H. Clifford, Naturally totally ordered commutative semigroups, Amer. J. Math. 76(1954), 631-646. 2. , Totally ordered commutative semigroups, Bull. Amer. Math. Soc. 64 (1958), 305-316. 3. O.…
Integro-differential operators on vector bundles
- Mathematics
- 1965
Introduction. This article considers a fairly general class of operators on sections of a vector bundle over a compact manifold, including the "smooth" differential operators and singular integral…
THE DIMENSION OF SPACES OF AUTOMORPHIC FORMS.
- Mathematics
- 1963
1. The trace formula of Selberg reduces the problem of calculating the dimension of a space of automorphic forms, at least when there is a compact fundamental domain, to the evaluation of certain…
Algebraic topology and elliptic operators, Comm
- Pure Appl. Math.,
- 1967