K-Homology and Analytic Surgery of Finite Groups
Typ
Examensarbete för masterexamen
Program
Engineering mathematics and computational science (MPENM), MSc
Publicerad
2020
Författare
Ekenstam, Jack
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
In this master’s thesis, the K-homology of classifying spaces of finite groups and
analytical surgery of finite groups are studied. The first part of the thesis introduces
the theory necessary to formulate the main results. The main results, i.e.
the calculation of the K-homology of the classifying space of a finite group and a
generalization to certain infinite groups, are found in Chapter 5. In addition to the
presentation of theoretical tools, examples are discussed to aid the reader’s intuition.
The intended audience is graduate students with basic understanding of topology
and functional analysis.
Beskrivning
Ämne/nyckelord
K-homology, analytic surgery, classifying spaces, finite groups, K-theory.