__Toeholds Seminar__

The Toeholds Seminar will meet every **Thurstay at 12:00 noon at the Seminar Room
(LN 2205)**. The main topic of the seminar is the construction of negative K-theory groups, using methods from bounded topology, and some of their applications.

- A quick introduction to algebraic K-theory (definitions of K
_{0}and K_{1}and their basic properties).

Text: J. Rosenberg, Algebraic K-theory and its applications. Graduate Texts in Mathematics, 147.

- A presentation of the Bass-Heller-Swan Formula (definition of the maps involved).

Different Articles - The definition of K
_{-i}using categories with bounded control.

Text E. K. Pedersen, K_{-i}-invariants of chain complexes. Topology (Leningrad, 1982), 174-186, Lecture Notes in Math., 1060, Springer, Berlin, 1984. - The bounded h-cobordism theorem. Text: E. K. Pedersen, On the bounded and thin h-cobordism theorem parameterized by
- Pseudoisotopy spaces. Different Articles
- The connection between pseudoisotopy spaces and K
_{-i}.

Text: D. R. Anderson, W. C. Hsiang, The functors K_{-i}and pseudo-isotopies of polyhedra. Ann. of Math. (2) 105 (1977), no. 2, 201-223.