Atiyah k-theory download

Phillips, N. Operator Theory 19 , — K-Theory 3 , — A 53 , — Rosenberg, J. Schochet, C. Axiomatic homology. A 56 2 , — K-Theory 10 1 , 49—72 Sharifi, K.

Switzer, R. Springer, Berlin Troitsky, E. Vestnik Moskov. I Mat. Voiculescu, D. Operator Theory 17 1 , 85—98 Weibel, C. Cambridge Studies in Advanced Mathematics, vol. Cambridge University Press, Cambridge Wegge-Olsen, N.

Oxford, Oxford University Press Weidner, J. I, II. K-Theory 3 1 , 57—77, 79—98 Download references. Box , Shahrood, Iran. You can also search for this author in PubMed Google Scholar.

Correspondence to Kamran Sharifi. Reprints and Permissions. Appl Categor Struct 25, — Lawson, M-L. Spin Geometry. Princeton Mathematical Series, Princeton University Press. Monographs no Academic Press. London — New York — San Francisco. Elliptic operators, topology and asymptotic methods. Pitman Research Notes in Mathematics Series Longman Scientific and Technical. Longman Group UK Limited. Trace ideals and their applications. London Math. Lecture Note Series, Cambridge University Press.

Fack 1 1. Personalised recommendations. Cite chapter How to cite? ENW EndNote. Buy options. Bleecker D. Author : D. The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readi ness for extra-mathematical applications but also more comprehensive orientations within mathematics.

In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathe matical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories.

To do this the mathematician must be familiar with the shared as weIl as specific features of differ ent mathematical approaches, and must have experience with their inter connections. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications see Chapter