Course - Algebraic Topologi II - MA3405
Algebraic Topologi II
About
About the course
Course content
The goal with the course is to give a solid background for studies in topology, and develop geometrical ideas and algebraic methods introduced in Algebraic Topology I. The course supports studies in related subjects as algebra, geometry and theoretical physics. Subjects to be treated are singular (co)homology theory: Poincaré duality and Steenrod operations. Complex K-theory, (co)bordism theory, generalized cohomology theories and spectra. Formal group laws and genera. The course will be lectured every second year, next time Spring 2011.
Learning outcome
The goal of the subject is to give a solid background for studies in topology, possibly also studies in algebra and theoretical physics.
Learning methods and activities
Lectures and exercises.
Recommended previous knowledge
The course is based on MA3403 Algebraic topology I and TMA4190 Manifolds.
Course materials
Will be announced at the start of the course.
Subject areas
- Mathematics