arXiv subjects

Francis X. Connolly

Publications and source records attributed to Francis X. Connolly.

2 recordsLinked to original sources

arXiv2004

The surgery obstruction groups of the infinite dihedral group

This paper computes the quadratic Witt groups (the Wall L-groups) of the polynomial ring Z[t] and the integral group ring of the infinite dihedral group, with various involutions. We show that some of these groups are infinite direct sums of cyclic groups of order 2 and 4. The techniques used are quadratic linking forms over Z[t] and Arf invariants.

math.GT↗

arXiv1994

A Comparison of Continuously Controlled and Controlled K-theory

We define an unreduced version of the e-controlled lower $K$-theoretic groups of Ranicki and Yamasaki, and Quinn. We show that the reduced versions of our groups coincide (in the inverse limit and its first derived, $\lim^1$) with those of Ranicki and Yamasaki. We also relate the controlled groups to the continuously controlled groups of Anderson and Munkholm, and to the Quinn homology groups of Quinn.

math.KT↗