An advanced treatment of surgery theory for graduate students and
researchers
Surgery theory, a subfield of geometric topology, is the study of the
classifications of manifolds. A Course on Surgery Theory offers a
modern look at this important mathematical discipline and some of its
applications. In this book, Stanley Chang and Shmuel Weinberger explain
some of the triumphs of surgery theory during the past three decades,
from both an algebraic and geometric point of view. They also provide an
extensive treatment of basic ideas, main theorems, active applications,
and recent literature. The authors methodically cover all aspects of
surgery theory, connecting it to other relevant areas of mathematics,
including geometry, homotopy theory, analysis, and algebra. Later
chapters are self-contained, so readers can study them directly based on
topic interest. Of significant use to high-dimensional topologists and
researchers in noncommutative geometry and algebraic K-theory, A Course
on Surgery Theory serves as an important resource for the mathematics
community.