Books in category Mathematics – Topology

Symplectic Actions of 2tori on 4manifolds
In this paper the author classifies symplectic actions of $2$tori on compact connected symplectic $4$manifolds, up to equivariant symplectomorphisms.

Cellular Spaces, Null Spaces and Homotopy Localization
In this monograph we give an exposition of some recent development in homotopy theory.

Some Applications of Topological KTheory
Some Applications of Topological KTheory

NonAbelian Homological Algebra and Its Applications

Geometry with an Introduction to Cosmic Topology
Chapters 27 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space.

By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to …

Modern Geometry – Methods and Applications
Both scientists and students of mathematics as well as theoretical physics will find this book to be a valuable reference and text.

Lectures on Spaces of Nonpositive Curvature
In the smooth case, this is known and is the content of the Rank Rigidity theorem. An updated version of the proof of the latter theorem (in the smooth case) is presented in Chapter IV of the book.

The Grothendieck Theory of Dessins D’Enfants
The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book.

This volume includes both survey and research articles on major advances and future developments in geometry and topology.