[图书][B] Topological methods in hydrodynamics

VI Arnold, VI Arnold - 2014 - Springer
A group theoretical approach to hydrodynamics considers hydrodynamics to be the
differential geometry of diffeomorphism groups. The principle of least action implies that the …

[PDF][PDF] Noncommutative Geometry

A Connes - 1994 - repo-archives.ihes.fr
Our geometric concepts evolved first through the discovery of Non-Euclidean geometry. The
discovery of quantum mechanics in the form of the noncommuting coordinates on the phase …

[图书][B] Geometric Group Theory: Asymptotic invariants of infinite groups

M Gromov - 1993 - books.google.com
The articles in these two volumes arose from papers given at the 1991 International
Symposium on Geometric Group Theory, and they represent some of the latest thinking in …

Calibrated geometries

R Harvey, HB Lawson - 1982 - projecteuclid.org
This paper is perhaps best characterized as a foundational essay on the geometries of
minimal varieties associated to closed forms. The fundamental observation here is the …

[PDF][PDF] Volume and bounded cohomology

M Gromov - Publications Mathématiques de l'IHÉS, 1982 - numdam.org
Volume and bounded cohomology Page 1 PUBLICATIONS MATHÉMATIQUES DE L’IHÉS
MICHAEL GROMOV Volume and bounded cohomology Publications mathématiques de l’IHÉS …

[图书][B] From Stein to Weinstein and back: symplectic geometry of affine complex manifolds

K Cieliebak, Y Eliashberg - 2012 - books.google.com
This book is devoted to the interplay between complex and symplectic geometry in affine
complex manifolds. Affine complex (aka Stein) manifolds have canonically built into them …

Monopoles and three-manifolds

P Kronheimer, T Mrowka - (No Title), 2007 - cir.nii.ac.jp
抄録< jats: p> Originating with Andreas Floer in the 1980s, Floer homology has proved to be
an effective tool in tackling many important problems in three-and four-dimensional …

[图书][B] Foliations II

A Candel, L Conlon - 2000 - books.google.com
This is the second of two volumes on the qualitative theory of foliations. For this volume, the
authors have selected three special topics: analysis on foliated spaces, characteristic …

Globally hyperbolic spacetimes: slicings, boundaries and counterexamples

M Sánchez - General Relativity and Gravitation, 2022 - Springer
The Cauchy slicings for globally hyperbolic spacetimes and their relation with the causal
boundary are surveyed and revisited, starting at the seminal conformal boundary …

Thurston's Work on Surfaces (MN-48)

A Fathi, V Poénaru, F Laudenbach - 2021 - torrossa.com
This book contains an exposition of results of William Thurston on the theory of surfaces:
measured foliations, the natural compactification of Teichmüller space, and the classification …