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Wednesday, July 29, 2020 | History

3 edition of A Lefschetz theorem for foliated manifolds found in the catalog.

A Lefschetz theorem for foliated manifolds

Andrew F. Rich

# A Lefschetz theorem for foliated manifolds

## by Andrew F. Rich

Published .
Written in English

Edition Notes

Classifications The Physical Object Statement by Andrew F. Rich. LC Classifications Microfilm 90/27 (Q) Format Microform Pagination iii, 86 leaves. Number of Pages 86 Open Library OL2018831M LC Control Number 90953859

Several examples where this passage is possible for foliated manifolds with leaves of codimension one are given in the literature: Guillemin  considers the Selberg traceformula. AlvarezLo´pez, Kordyukov, Deninger, Singhof and La´ zarov provedynamical Lefschetz formulas for foliated manifolds with a bundle-like ?doi=&rep=rep1&type=pdf. the hard Lefschetz theorem for Kähler orbifolds, a fact that will be useful to us. Prior to , only a few other authors took up the similar idea of applying foliated Riemannian manifolds and their foliated objects to the study of the geometry of the leaf (closure) space

Theorem 2 (Lefschetz xed point theorem). Let f: X!Xbe an endomor-phism of an irreducible, smooth, projective variety. Let ; f ˆX Xbe the diagonal and the graph of frespectively. Then we have (f) = X i (1)itr(fj Hi(X)): Here (f) is the intersection number of the graph and the diagonal, we recognize the right hand side as the Lefschetz :// These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year The purpose of the lectures was to give an introduction to the applications of centre manifold theory  › Mathematics › Geometry & Topology.

The application to the topology of Stein manifolds offered us a pretext for the last chapter of the book on the Picard–Lefschetz theory. Given a complex submanifold Mof a complex projective space, we start slicing it using a (complex) 1-dimensional family of projective hyperplanes. ~lnicolae/ This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Kähler, to complex projective ://

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### A Lefschetz theorem for foliated manifolds by Andrew F. Rich Download PDF EPUB FB2

A LEFSCHETZ THEOREM FOR FOLIATED MANIFOLDS where E = Oi Ei. is required to be a Clifford bundle over the Clifford algebra of T* F, the cotangent bundle along the leaves. There is a Hermitian connection V on E which is compatible with Clifford   (Lefschetz Theorem for Foliated Manifolds) Let M, F, (E, d), v, f, A and T be as above.

To each N j' we can associate a smooth measure a j which depends only on f, A, the symbols of the A;, the metrics, and their derivatives to a finite order only on NjL so that LT) = fN adv.

For the classical complexes, we can identify the ajL :// Enter the password to open this PDF file: Cancel OK. File name: @ARTICLE{Heitsch90alefschetz, author = {James L. Heitsch}, title = {A Lefschetz theorem for foliated manifolds}, journal = {Topology}, year = {}, pages = {}} Share.

OpenURL. Abstract. These notes are from lectures given at Hokkaido University while I was a Fellow of the Japan Society for the Promotion of Science. I t is a pleasure ?doi=   Title: The Lefschetz Theorem for Foliated Manifolds Authors: Heitsch, James-L.

Browse this author Issue Date: 1-Jan Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University technical report series in mathematics   The Lefschetz Theorem for Foliated Manifolds James L.

Heitsch Series #2, June HOKKAIDO UNIVERSITY TECHNICAL REPORT SERIES IN MATHEMATICS # Author Title 1. Morimoto, Equivalence Problems of the Geometric Structures admitting Differential Filtrations.

Introduction These notes are from lectures given at Hokkaido University A Lefschetz-type coincidence theorem for two maps f,g:X->Y from an arbitrary topological space X to a manifold Y is given: I(f,g)=L(f,g), the coincidence index   THE LEFSCHETZ HYPERPLANE THEOREM FOR STACKS DANIEL HALPERN-LEISTNER Abstract.

We use Morse theory to prove that the Lefschetz Hyper-plane Theorem holds for compact smooth Deligne-Mumford stacks over the site of complex manifolds.

For Z ˆX a hyperplane section, X can be obtained from Z by a sequence of deformation retracts and attach-~danhl/DanHL_lefschetz_hyperplane_10_pdf. Lefschetz Fibrations of 4-Dimensional Manifolds Terry Fuller Department of Mathematics California State University, Northridge Northridge, CA e-mail address: @ 0 Introduction Since the s, the subject of 4-dimensional ~tf/ We use Morse theory to prove that the Lefschetz Hyperplane Theorem holds for compact smooth Deligne-Mumford stacks over the site of complex :// Y.A.

Kordyukov. Functional calculus for tangentially elliptic operators on foliated manifolds. In Analysis and Geometry in Foliated Manifolds, Proceedings of the VII International Colloquium on Differential Geometry, Santiago de Compostela,pp.

– COVID campus closures: see options for getting or retaining Remote Access to subscribed content The paper is devoted to the Lefschetz formulas for flows on compact manifolds, preserving a codimension one foliation and having fixed :// COVID Resources.

Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus   The Lefschetz fixed point theorem, now a basic result of topology, he developed in papers from toinitially for manifolds.

Later, with the rise of cohomology theory in the s, he contributed to the intersection number approach (that is, in cohomological terms, the ring structure) via the cup product and duality on ://   We give a proof of the Hard Lefschetz Theorem for orbifolds that does not involve intersection homology.

We use a foliated version of the Hard Lefschetz Theorem due to El Kacimi. INTRODUCTION Even though orbifolds are not smooth manifolds in general, these mildly singular objects retain a strong ﬂavor of smoothness.

For example, for a compact   tion. Even more remarkably, like the Reidemeister{Singer theorem for Heegaard splittings of 3{manifolds, trisections of 4{manifolds are unique up to an innate stabilization operation .

Maps with simplified topologies We now describe special subclasses of broken Lefschetz brations and trisections, which have simpler topologies. ~baykur/docs/ The main result of the present paper is a coincidence formula for foliated manifolds.

To prove this we establish Kuenneth formula, Poincare duality and intersection product in the context of /_A_Coincidence_Formula_for_Foliated_Manifolds.

A Lefschetz theorem on open manifolds 33 46; Eta invariants and the odd index theorem for coverings 47 60; The Lefschetz fixed point theorem for foliated manifolds 83 96; L2-acyclicity and L2-torsion invariants 91 ; Secondary characteristic numbers and locally free S1-actions ; L2-index theory, eta invariants and values of L-functions =CONM   In [11, Theorem 3], Gay describes a trisection for any closed 4-manifold Xadmitting a Lefschetz pencil, although he does not formulate the trisection of Xin terms of the vanishing cycles of the pencil (see [11, Remark 9]).

He also points out that his technique does not extend to cover the case of Lefschetz ﬁbrations on closed 4-manifolds [11 ~bozbagci/. We prove the equivariant Lefschetz fixed point theorem, which says that these two classes agree. As a special case, we prove an equivariant Poincaré-Hopf Theorem, computing the universal equivariant Euler characteristic in terms of the zeros of an equivariant vector field, and also obtain an orbifold Lefschetz fixed point ://  compact contact manifolds of Tievsky type have been found.

Another obstruction to the existence of Sasakian structures, recently discovered in , is provided by the so-called Hard Lefschetz Theorem for Sasakian manifolds. Let (M2n+1,η) be a compact A Lefschetz theorem for foliated manifolds.

Topology 29 (),