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Compactification of Symmetric Spaces (Progress in Mathematics)

The idea that of symmetric house is of important value in lots of branches of arithmetic. Compactifications of those areas were studied from the issues of view of illustration idea, geometry, and random walks. This paintings is dedicated to the examine of the interrelationships between those a number of compactifications and, specifically, specializes in the martin compactifications.

Handbook of Algebraic Topology

Algebraic topology (also referred to as homotopy conception) is a flourishing department of recent arithmetic. it's very a lot a world topic and this is often mirrored within the historical past of the 36 top specialists who've contributed to the guide. Written for the reader who already has a grounding within the topic, the quantity comprises 27 expository surveys masking the main lively components of analysis.

The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London Mathematical Society Student Texts)

This article on research of Riemannian manifolds is an intensive advent to issues lined in complex study monographs on Atiyah-Singer index concept. the most topic is the learn of warmth stream linked to the Laplacians on differential kinds. this offers a unified therapy of Hodge idea and the supersymmetric evidence of the Chern-Gauss-Bonnet theorem.

Modules over Operads and Functors (Lecture Notes in Mathematics)

This monograph offers a overview of the foundation of operad idea. It additionally stories buildings of modules over operads as a brand new machine to version functors among different types of algebras as successfully as operads version different types of algebras.