Book Project

Surgery Theory: Foundations

Diarmuid Crowley, Wolfgang Lück, Tibor Macko

This is a webpage for our book project on surgery theory.

The book is under construction. The chapters 1-8 are already in a reasonable shape. The subsequent chapters are very preliminary. At the moment the material is to be used at own risk. 

Current version is from November 7th, 2018. It is a major update from the previous version from 2015. The chapters have been reorganised and renumbered and a substantial amount of material has been added. It includes a new treatment of Poincare duality, of the Spivak normal fibration, of what we call intrinsic surgery obstructions which are related to Poincare duality with local coefficient systems and a revision of both chapters about surgery obstructions (even and odd case). The old version is kept online for comparison.

Comments are welcome per email to any of us!

Download:

Surgery Book (11-2018)

Surgery Book (09-2015)