The book contains rich and interesting material covering a broad part of geometry and topology which is explained in an accessible way. It is without any doubt an excellent book for graduate students as well as for mathematicians from other fields interested in these topics.

• Introduction ; 1. A topologist's view of perfect and acyclic groups ; 2. The geometry of the word problem ; 3. The Fuller Index ; 4. The Borel-Weil Theorem for Complex Projective Space ; 5. Morse Theory in the 1990s ; 6. The Dirac Operator ; 7. Hermitian Geometry ; 8. Indices of vector fields and Chern classes for singualr varieties ; List of Research papers by Brian Steer ; Index

The book contains rich and interesting material covering a broad part of geometry and topology which is explained in an accessible way. It is without any doubt an excellent book for graduate students as well as for mathematicians from other fields interested in these topics.

• Introduction ; 1. A topologist's view of perfect and acyclic groups ; 2. The geometry of the word problem ; 3. The Fuller Index ; 4. The Borel-Weil Theorem for Complex Projective Space ; 5. Morse Theory in the 1990s ; 6. The Dirac Operator ; 7. Hermitian Geometry ; 8. Indices of vector fields and Chern classes for singualr varieties ; List of Research papers by Brian Steer ; Index

The book contains rich and interesting material covering a broad part of geometry and topology which is explained in an accessible way. It is without any doubt an excellent book for graduate students as well as for mathematicians from other fields interested in these topics.

• Introduction ; 1. A topologist's view of perfect and acyclic groups ; 2. The geometry of the word problem ; 3. The Fuller Index ; 4. The Borel-Weil Theorem for Complex Projective Space ; 5. Morse Theory in the 1990s ; 6. The Dirac Operator ; 7. Hermitian Geometry ; 8. Indices of vector fields and Chern classes for singualr varieties ; List of Research papers by Brian Steer ; Index