Professor Geoghegan will investigate two kinds of problems on the borderline between topology and algebra. The first set of problems concerns developments of his recent work with A. Nicas on one-parameter fixed point theory. They recently found a "higher trace" in Hochschild homology which faithfully detects the primary obstruction to removing circles of fixed points from a homotopy. They will now investigate the algebra surrounding the remaining geometric obstructions, as well as related matters. The second set of problems concerns higher order end theory of groups. He will investigate various topological end invariants of a group which should detect interesting properties of the group itself.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9005508
Program Officer
Ralph M. Krause
Project Start
Project End
Budget Start
1990-07-15
Budget End
1993-03-31
Support Year
Fiscal Year
1990
Total Cost
$57,200
Indirect Cost
Name
Suny at Binghamton
Department
Type
DUNS #
City
Binghamton
State
NY
Country
United States
Zip Code
13902