"Trained to extract actionable information from large volumes of high-dimensional data, engineers and scientists often have trouble isolating meaningful low-dimensional structures hidden in their high-dimensional observations. Manifold learning, a groundbreaking technique design…
3-manifold groups
by Aschenbrenner, Matthias, Friedl, Stefan, Wilton, Henry
fromEMS series of lectures in mathematics
"The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathema…
"The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathema…
4-manifolds and Kirby calculus
by Stipsicz, András I., Gompf, Robert E.
fromGraduate studies in mathematics