Multivariable manifold calculus of functors

Multivariable Calculus

Rational Homotopy Calculus of Functors

of “Rational Homotopy Calculus of Functors” by Ben C. Walter, Ph.D., Brown University, July 2005. We construct a homotopy calculus of functors in the sense of Goodwillie for the categories of rational homotopy theory. More precisely, given a homotopy functor between any of the categories of differential graded vector spaces (DG), reduced differential graded vector spaces, differential graded Li...

Multivariable Advanced Calculus

Calculus of Functors and Configuration Spaces

This is a summary of a talk given at the Conference on Pure and Applied Topology on the Isle of Skye from June 21-25, 2005. The author would like to thank the organisers of the conference for a fantastic week and for the opportunity to present the following work. We describe a relationship between Goodwillie’s calculus of homotopy functors and configuration spaces. In [3], we showed that the Go...

Multivariable Calculus, Applications and Theory