The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the ...

This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central result is the identification of a manifold structure ...

Low-dimensional topology, hyperbolic geometry and 3-manifolds, knot theory, contact geometry, curve complex and mapping class group. Low-dimensional topology, hyperbolic geometry and 3-manifolds, knot ...

Ionescu and Benoît Pausader A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations This monograph on the applications of cube ...

The research problem I am working on is to prove that a compact, orientable three-manifold (without spherical boundary) ...

Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered ...

We will apply and advance a wide range of methods and tools, such as the Ricci flow, heat flow methods, Gromov-Hausdorff convergence of sequences of manifolds, singular foliations, topological and ...

The Octoberfest is a noble tradition in category theory: a low-key, friendly conference for researchers to share their work and thoughts. This year it’s on Saturday October 26th and Sunday October ...

Topological matter refers to systems in which topology is required for their characterisation. This includes materials with topological defects such as skyrmions, or topologically-protected edge ...

Let’s define some terms. When cosmologists try to model the universe, they break it down using practices like topology and ...

Recent astronomical observations show that the universe is expanding at an accelerating rate, something that defies our ...