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Works of Qayum Khan

Publications (refereed)

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, #27 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, #24 in queue)

Conference Proceedings (not refereed)

A   The homotopy type of G/PL and the characteristic variety theorem (with T. Macko), Oberwolfach Rep., 3(3): 2212--2214, 2006 (available online)
B   The Nil-Nil theorem in algebraic K-theory, Publ. Res. Inst. Math. Sci., 2 pages, submitted (06 Sep 2008)

Preprints

06   Algebraic K-theory over the infinite dihedral group (with J.F. Davis and A. Ranicki), 29 pages, reported (06 Oct 2008)

Active Research (Autumn 2008)

07   Splitting homotopy equivalences along two-sided submanifolds, I: Obstruction theory (with J. Brookman), 23 pages, updated (02 Sep 2008)
08   Dihedral manifold approximate fibrations over the circle (with C.B. Hughes), 16 pages, reported (10 Oct 2008)
09   Calculation of UNil for the modular group and manifolds homotopy equivalent to Pn#L(3) (2008)

Preliminary Research

10   Splitting homotopy equivalences along two-sided submanifolds, II: Relating theories, 3 pages, updated (13 Jul 2008)
11   The meta-blocked surgery sequence and control (with M. Yamasaki) (2008)
12   On topological surgery for 4-manifolds (2008)
13   Splitting homotopy equivalences along two-sided submanifolds, III: Blocked structures (with T. Macko) (2008)
14   Manifolds homotopy equivalent to L(2e) # L(2e) (with T. Macko) (2008)
15   Calculation of UNil for certain cyclotomic and quadratic number rings, 17 pages, updated (22 Jun 2008)
16   Algebraic L-theory over the infinite dihedral group (with J.F. Davis and A. Ranicki) (2007)
17   Z/2-equivariant fibering of manifolds over the circle (with C.B. Hughes) (2006)
18   The stratified surgery sequence for families of subgroups (with J.F. Davis) (2007)
19   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