Mapping surgery to analysis (SS 2009/10)
Ján Špakula, Philipp Kühl, Wolfgang Steimle, Tibor Macko
Program:
Talks:
(03/05/2010) Ján Špakula: Analytic surgery exact sequence
(10/05/2010) Philipp Kühl, Wolfgang Steimle: Analytic signatures
(17/05/2010) Tibor Macko: Construction of the map (GSES) to (ASES)
Literature:
Nigel Higson, and John Roe: Mapping surgery to analysis I analytic signatures , K-Theory 33 (2005), 277-299
Nigel Higson, and John Roe: Mapping surgery to analysis II, geometric signatures, K-Theory 33 (2005), 301-324
Nigel Higson, and John Roe: Mapping surgery to analysis III, exact sequences, K-Theory 33 (2005), 325-346
Nigel Higson, and John Roe: K-homology, assembly and rigidity theorems for relative eta-invariants, P&AMQ, Volume 6, Number 2, 555-601, 2010
Jonathan Rosenberg: Analytic Novikov for topologists. Novikov conjectures, index theorems and rigidity, Vol. 1 (Oberwolfach, 1993), 338--372, LMS Lecture Note Ser., 226, Cambridge Univ. Press, Cambridge, 1995.
Wolfgang Lück: A basic introduction to surgery theory, Topology of high-dimensional manifolds, No. 1, 2 (Trieste, 2001), 1--224, ICTP Lect. Notes, 9, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2002.
David Rosenthal: A user's guide to continuously controlled algebra,To appear in the Proceedings of the summer school: Cohomology of Groups and Algebraic K-theory (Hangzhou, China, July 2007)
Wikipedia: Surgery exact sequence