Four lectures on scalar curvature

M Gromov - arXiv preprint arXiv:1908.10612, 2019 - arxiv.org
arXiv:1908.10612v6 [math.DG] 8 Jul 2021 Page 1 arXiv:1908.10612v6 [math.DG] 8 Jul 2021
Four Lectures on Scalar Curvature Misha Gromov July 9, 2021 Unlike manifolds with controlled …

[图书][B] Higher index theory

R Willett, G Yu - 2020 - books.google.com
Index theory studies the solutions to differential equations on geometric spaces, their
relation to the underlying geometry and topology, and applications to physics. If the space of …

The Baum–Connes conjecture: an extended survey

MPG Aparicio, P Julg, A Valette - … Geometry: On the Occasion of Alain …, 2019 - Springer
The Baum–Connes conjecture: an extended survey Page 1 The Baum–Connes conjecture: an
extended survey Maria Paula Gomez Aparicio, Pierre Julg, and Alain Valette To Alain Connes …

The Novikov conjecture

G Yu - Russian Mathematical Surveys, 2019 - iopscience.iop.org
The Novikov conjecture - IOPscience This site uses cookies. By continuing to use this site you
agree to our use of cookies. To find out more, see our Privacy and Cookies policy. Close this …

[PDF][PDF] Isomorphism Conjectures in K-and L-theory

W Lück - preparation, see http://www. him. uni-bonn. de …, 2024 - him-lueck.uni-bonn.de
This manuscript is not finished. Most of it is in nearly final form, whereas Chapters 8 and 25
are still under construction. Comments are very welcome. The Isomorphism Conjectures due …

Noncommutative geometry, the spectral standpoint

A Connes - arXiv preprint arXiv:1910.10407, 2019 - arxiv.org
We report on the following highlights from among the many discoveries made in
Noncommutative Geometry since year 2000: 1) The interplay of the geometry with the …

The Baum–Connes conjecture localised at the unit element of a discrete group

P Antonini, S Azzali, G Skandalis - Compositio Mathematica, 2020 - cambridge.org
The Baum–Connes conjecture localised at the unit element of a discrete group Page 1 The
Baum–Connes conjecture localised at the unit element of a discrete group Paolo Antonini …

The twisted coarse Baum-Connes conjecture with coefficients in coarsely proper algebras

L Guo, Z Luo, Q Wang, Y Zhang - Journal of Functional Analysis, 2023 - Elsevier
We introduce a notion of (approximately) coarsely proper algebras for coarse embeddings of
metric spaces to formulate and prove a version of twisted coarse Baum-Connes conjecture …

Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture

L Guo, Q Wang, J Wu, G Yu - arXiv preprint arXiv:2411.18538, 2024 - arxiv.org
In this paper, we study the equivariant coarse Novikov conjectures for spaces that
equivariantly and coarsely embed into admissible Hilbert-Hadamard spaces, which are a …

The Novikov conjecture, the group of diffeomorphisms and continuous fields of Hilbert-Hadamard spaces

S Gong, J Wu, Z Xie, G Yu - arXiv preprint arXiv:2310.01219, 2023 - arxiv.org
In this paper, we prove the Novikov conjecture for a class of highly non-linear groups,
namely discrete subgroups of the diffeomorphism group of a compact smooth manifold. This …