By Frances Kirwan, Jonathan Woolf

Now extra sector of a century previous, intersection homology conception has confirmed to be a robust device within the examine of the topology of singular areas, with deep hyperlinks to many different parts of arithmetic, together with combinatorics, differential equations, team representations, and quantity theory.

Like its predecessor, An creation to Intersection Homology thought, moment version introduces the ability and sweetness of intersection homology, explaining the most principles and omitting, or only sketching, the tricky proofs. It treats either the fundamentals of the topic and quite a lot of functions, supplying lucid overviews of hugely technical components that make the topic available and get ready readers for extra complicated paintings within the region. This moment variation comprises completely new chapters introducing the idea of Witt areas, perverse sheaves, and the combinatorial intersection cohomology of lovers.

Intersection homology is a big and becoming topic that touches on many elements of topology, geometry, and algebra. With its transparent reasons of the most rules, this publication builds the boldness had to take on extra professional, technical texts and offers a framework in which to put them.