The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical

This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In t

This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts

This volume contains the proceedings of the AMS-IMS-SIAM Summer Research Conference on ``Geometric and Topological Invariants of Elliptic Operators,'' held in A