Conjugation of the classical kernels of Bochner-Martinelli & Koppelman-Leray with the FBI transform is used to construct homotopy operators in the tangential Cauchy-Riemann complex. On a real hypersurface in complex space and the presence of supporting manifolds is exploited to …
This work studies equivariant linear second order elliptic operators [italic capital]P on a connected noncompact manifold [italic capital]X with a given action of a group [italic capital]G. The action is assumed to be cocompact, meaning that [italic capitals]GV = [italic capital…
Nonmodular lattice varieties
by Rose, Henry
fromMemoirs of the American Mathematical Society
It is shown that there are eight infinite sequences of join irreducible lattice varieties with the following properties: each term of every sequence has the next term as its unique join irreducible cover. The description of these sequences is based on a detailed study of subdire…
The principal aim of this research is to establish certain formulas for the homology classes represented by the self-intersection loci of an immersed submanifold. This paper provides a generalization of a formula for higher order intersection multiplicities.
This paper is concerned with the spectral theory of the Laplacian as the underlying Riemann surface is "pinched down" to a surface with nodes. The problem is attacked from the (general) standpoint of regular b-groups and the Selberg trace formula.
The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic…
This paper offers a new tool for the study of complex manifolds--a theory of intrinsic measures on complex manifolds.
