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Works of Qayum Khan

Publications

01   Manifolds homotopy equivalent to Pn # Pn (with J. Brookman and J.F. Davis), Math. Annalen, 338(4): 947--962, 2007 (available online)
02   On smoothable surgery for 4-manifolds, Algebr. Geom. Topol., 7: 2117--2140, 2007 (available online)
03   On fibering and splitting of 5-manifolds over the circle, Topology Appl., accepted (14 Jul 2008), in press (16 pages, available online, #63 in queue)
04   Calculation of UNil for the cyclic group of order two, Forum Math., accepted (19 May 2008), 16 pages (preprint)
05   Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup, J. Pure Appl. Algebra, accepted (02 Jun 2008), in press (20 pages, available online, #32 in queue)

Preprints

06   Algebraic K-theory over the infinite dihedral group (with J.F. Davis and A. Ranicki), 20 pages, to be submitted (August 2008)

Active Research (Autumn 2008)

07   Splitting homotopy equivalences along two-sided submanifolds, I: Obstruction theory (with J. Brookman), 22 pages, updated (27 Aug 2008)
08   Dihedral manifold approximate fibrations over the circle (with C.B. Hughes), 12 pages, reported (26 Aug 2008)

Preliminary Research

09   Splitting homotopy equivalences along two-sided submanifolds, II: Relating theories, 3 pages, updated (13 Jul 2008)
10   The blocked surgery sequence and control (with M. Yamasaki) (2008)
11   On topological surgery for 4-manifolds (2008)
12   Splitting homotopy equivalences along two-sided submanifolds, III: Blocked structures (with T. Macko) (2008)
13   Manifolds homotopy equivalent to L(2e)n # L(2e)n (with T. Macko) (2008)
14   Calculation of UNil for certain cyclotomic and quadratic number rings, 17 pages, updated (22 Jun 2008)
15   Algebraic L-theory over the infinite dihedral group (with J.F. Davis and A. Ranicki) (2007)
16   Z/2-equivariant fibering over the circle (with C.B. Hughes) (2006)
17   The stratified surgery sequence for families of subgroups (with J.F. Davis) (2007)
18   The equivariant Borel conjecture for Gamma3 and UNil of odd dihedral groups (with C. Connell) (2006)

Remnants of Dissertation

a   On cancellation for topological 4-manifolds with infinite fundamental group (2004), 15 pages
b   Self-coverings of RPn # RPn and weak nilpotence of UNil under transfers (2003), 15 pages