In the monograph under consideration here the author develops the geometry of the situation, for any [lowercase Greek]Pi. The main tool is the notion of "a local surgery on a conglomerate Moore space'', which is a sequence of surgeries on a normal map [script]f such that each of…
Classifying spaces in surgery theory were first used by Sullivan and Casson in their (independent) unpublished work on the Hauptvermutung for PL manifolds. In his 1968 Ph.D. thesis, F. Quinn developed a general theory of surgery classifying spaces, realizing the Wall surgery gro…
Given a degree one normal map and a closed manifold one can form their product. The result is another degree one normal map. In this paper we calculate the surgery obstruction of the product in terms of the obstruction of the original normal map and invariants of the closed mani…
The Browder-Novikov-Sullivan-Wall surgery theory emerged in the 1960s as the main technique for classifying high-dimensional topological manifolds, using the algebraic L-theory of quadratic forms to relate the geometric properties of manifolds and the Poincare duality between ho…
by Weinberger, Shmuel, Chang, Stanley S.
fromAnnals of mathematics studies
"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 …
by Chang, Stanley, Weinberger, Shmuel
fromAnnals of mathematics studies
"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 …
