Construction of Fredholm representations and a modification of the Higson-Roe corona (original) (raw)

On Fredholm index, transversal approximations and Quillen's geometric complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups

Cenap Ozel

Topology and its Applications, 2006

View PDFchevron_right

The Čech Centennial: A Conference on Homotopy Theory

Jonathan Rosenberg

Contemporary Mathematics, 1995

View PDFchevron_right

A general Fredholm theory III: Fredholm functors and polyfolds

Eduard Zehnder

Geometry & Topology, 2009

View PDFchevron_right

On the homotopy classification of elliptic operators on manifolds with corners

Anton Savin

Doklady Mathematics, 2007

View PDFchevron_right

An Invariant for Non Simply Connected Manifolds

Dan Burghelea

View PDFchevron_right

On invariants of Hirzebruch and Cheeger–Gromov

Shmuel Weinberger

Geometry & Topology, 2003

View PDFchevron_right

The loop space homotopy type of simply-connected four-manifolds and their generalizations

Stephen Theriault

Advances in Mathematics, 2014

View PDFchevron_right

The Yamabe Invariant for Non-Simply Connected Manifolds

Boris Botvinnik

Journal of Differential Geometry

View PDFchevron_right

Index theory of hypoelliptic operators on Carnot manifolds

Alexey Kuzmin

2022

View PDFchevron_right

A Riemannian Invariant, Euler Structures and Some Topological Applications

Dan Burghelea

Trends in Mathematics

View PDFchevron_right

Book Review: Rings, modules, and algebras in stable homotopy theory

John McCleary

Bulletin of the American Mathematical Society, 2000

View PDFchevron_right

Fredholm realizations of elliptic symbols on manifolds with boundary II: fibered boundary

Pierre Albin

2010

View PDFchevron_right

Jeffrey Strom: “Modern Classical Homotopy Theory”

Birgit Richter

Jahresbericht der Deutschen Mathematiker-Vereinigung, 2012

View PDFchevron_right

The K-homology class of the Euler characteristic operator is trivial

Jonathan Rosenberg

Proceedings of the American Mathematical Society

View PDFchevron_right

On the homology of and a theorem of Stembridge

David Wales

Journal of Algebra, 2003

View PDFchevron_right

Homotopy groups of certain highly connected manifolds via loop space homology

Somnath Basu

arXiv: Algebraic Topology, 2016

View PDFchevron_right

On the hauptvermutung for manifolds

Dennis Sullivan

1967

View PDFchevron_right

The homotopy invariance of the string topology loop product and string bracket

Dennis Sullivan

Journal of Topology, 2008

View PDFchevron_right

Integral representations of finite transformation groups III: Simply-connected four-manifolds

Amir H Assadi

Journal of Pure and Applied Algebra, 1990

View PDFchevron_right

The η invariant of the Atiyah–Patodi–Singer operator on compact flat manifolds

Roberto Miatello

Annals of Global Analysis and Geometry, 2012

View PDFchevron_right

A note on an invariant of Fintushel and Stern

Walter Neumann

Topology and its Applications, 1991

View PDFchevron_right

A cohomological formula for the Atiyah–Patodi–Singer index on manifolds with boundary

Bertrand Monthubert

Journal of Topology and Analysis, 2014

View PDFchevron_right

The Loop Homology Algebra of Spheres and Projective Spaces

Ralph Cohen

Categorical Decomposition Techniques in Algebraic Topology, 2003

View PDFchevron_right

Unified quantum invariants for integral homology spheres associated with simple Lie algebras

Thang Le

Geometry & Topology, 2016

View PDFchevron_right

The equivariant topological s-cobordism theorem

Mark Steinberger

Inventiones Mathematicae, 1988

View PDFchevron_right

Topology of Homology Manifolds

Shmuel Weinberger

The Annals of Mathematics, 1996

View PDFchevron_right

A general Fredholm theory I: a splicing-based differential geometry

Eduard Zehnder

Journal of the European Mathematical Society, 2000

View PDFchevron_right

Lie coalgebras and rational homotopy theory II: Hopf invariants

Ben Walter

Arxiv preprint arXiv:0809.5084, 2008

View PDFchevron_right

Fredholm realizations of elliptic symbols on manifolds with boundary

Pierre Albin

2006

View PDFchevron_right

A simple notion of orientability for Fredholm maps of index zero between Banach manifolds and degree theory

Massimo Furi, P. Benevieri

Annales des Sciences Mathematiques du Quebec

View PDFchevron_right

Homotopy classification of elliptic operators on stratified manifolds

Anton Savin

Dokl Math, 2006

View PDFchevron_right

Exact triangles in monopole homology and the Casson-Walker invariant

Bai-Ling Wang

arXiv preprint math/0101127, 2001

View PDFchevron_right

Λ-Homology Cobordism Bundles

Gerald Anderson

Pacific Journal of Mathematics, 1980

View PDFchevron_right