Research Home Page: Ian Hambleton
Dr. F. Ronald Britton Professorship in
Mathematics
Contact Information:
Ian Hambleton
Department of Mathematics and Statistics
McMaster University
Hamilton, Ontario L8S 4K1
Canada
Office: James Stewart Centre for Mathematics
Hamilton Hall room 320
Phone: (905) 525-9140 extension 27302
FAX: (905) 522-0935
E-mail: hambleton at mcmaster.ca
Ronald Hambleton
(1917-2015)
Research Publications:
MathSciNet Listing
Published Papers - some downloads
Recent Papers:
- Nima Anvari and Ian Hambleton,
Finite group actions on 4-manifolds and equivariant bundles
(final version, July 19, 2023)
"Frontiers in Geometry and Topology", AMS Proceedings of Symposia in Pure
Mathematics (to appear)
[Download:
pdf ]
- Ian Hambleton,
A stability range for topological 4-manifolds
(final version, June 30, 2023)
Transactions of the American Mathematical Society, 376 (2023),
8769-8793
(TAMS Link)
[Download:
pdf ]
- David L. Duncan and Ian Hambleton,
Existence of mASD connections on 4-manifolds with cylindrical ends (final
version, Feb. 28, 2023)
Communications in Analysis and Geometry (to appear)
[Download:
pdf ]
- Alejandro Adem and Ian Hambleton,
Minimal Euler characteristics for even-dimensional manifolds with finite
fundamental group
Forum of Mathematics, Sigma 11 (2023), e24
(FORUM
Link)
[Download: pdf ]
- Ian Hambleton and Jonathan Hillman,
Quotients of S2 x S2
Journal of the London Mathematical Society 2 (2023), 1-24
(JLMS Link)
[Download:
pdf ]
- Ian Hambleton and Semra Pamuk,
Rank conditions for finite group actions on 4--manifolds
Canadian Journal of Mathematics 74 (2022), 550-572
(CJM
Link)
[Download:
pdf ]
- Nima Anvari and Ian Hambleton,
Cyclic branched coverings of Brieskorn spheres bounding acyclic
4-manifolds
Glasgow Mathematical Journal 63 (2021), 400-413
(GMJ
Link)
[Download:
pdf ]
- Ian Hambleton,
Orientable 4-dimensional Poincaré complexes have reducible Spivak fibrations
Proceedings Amer. Math. Soc.
147 (2019), 3177-3179
(PAMS Link)
[Download:
pdf ]
- Alejandro Adem and Ian Hambleton,
Free finite group actions on rational homology 3-spheres
Forum of Mathematics, Sigma 7 (2019), e28
(FORUM
Link)
[Download:
pdf ]
- Ian Hambleton and Alyson Hildum, Topological 4-manifolds with
right-angled Artin fundamental groups
Journal of Topology and Analysis 11 (2019), 777-821
(JTA Link)
[Download:
pdf ]
- Ian Hambleton,
Two remarks on Wall's D2 problem
Mathematical Proceedings of the Cambridge Philosophical Society
167 (2019), 361-368
(MPCPS
Link)
[Download:
pdf ]
- Ian Hambleton and Matthias Kreck, On the classification of
topological 4-manifolds with finite fundamental group: corrigendum
Math. Ann. 372 (2018), 527-530
(MathAnn
Link)
[Download:
pdf ]
- Ian Hambleton and Ergun Yalcin, Group actions on spheres
with rank one prime power isotropy
Mathematical Research Letters 24 (2017), 379-400
(MRL
Link)
[Download:
pdf ]
- Nima Anvari and Ian Hambleton, Cyclic group actions on
contractible 4-manifolds
Geometry and Topology 20 (2016), 1127-1155
(GT Link)
[Download:
pdf ]
- Ian Hambleton and Ergun Yalcin, Group actions on spheres
with rank one isotropy
Transactions Amer. Math. Soc. 368 (2016), 5951-5977
(TAMS Link)
[Download:
pdf ]
- Diarmuid Crowley and Ian Hambleton,
Finite group actions on Kervaire manifolds
Advances in Math. 283 (2015), 88-129
(Elsevier
Link)
[Download:
pdf ]
- Ian Hambleton, Topological spherical space forms
Handbook of Group Actions (Vol. II), ALM 32 (2015), 151-172.
International Press, Beijing-Boston.
(IP Link)
[Download:
pdf ]
- Ian Hambleton and Matthias Kreck, Recognizing products of
surfaces and simply connected 4-manifolds
Proceedings Amer. Math. Soc. 143 (2015), 2253-2262 (Proc.
AMS Link)
[Download:
pdf ]
- Ian Hambleton and Ergun Yalcin, Homotopy representations over
the orbit category
Homology, Homotopy and Applications 16 (2014), 345-369 (HHA
Link)
[Download:
pdf ]
- Ian Hambleton and Erik K. Pedersen, More examples of discrete
co-compact group actions
Algebraic Topology: Applications and New Directions: Stanford
Symposium
2012
Contemp. Math. 620 (2014), 133-144. Amer. Math. Soc.,
Providence, RI (AMS Link)
[Download: pdf ]
- Ian Hambleton, Semra Pamuk and Ergun Yalcin, Equivariant
CW-complexes and the orbit category
Commentarii Math. Helv. 88 (2013), 369-425
(CMH
Link)
[Download:
pdf ]
- Ian Hambleton and Yang Su, On certain 5-manifolds with fundamental group
of order 2
Quarterly Journal Math. 64 (2013), 149-175
(QJM Link)
[Download:
pdf ]
- Ian Hambleton, Surgery obstructions on closed manifolds and the inertia
subgroup
Forum Math. 24 (2012), 911-929 (De
Gruyter
Link)
[Download: pdf ]
- Ian Hambleton, Erik K. Pedersen and David Rosenthal, Assembly
Maps for Group Extensions in K-Theory and L-Theory.
Pure and Applied Mathematics Quarterly 8 (2012), 175-197 (PAMQ
Link)
[Download: pdf ]
- Ian Hambleton and Wolfgang Lück, Induction and
computation of Bass Nil-groups for finite groups
Pure and Applied Mathematics Quarterly 8 (2012), 199-219 ( PAMQ Link )
[Download: pdf ]
- Ian Hambleton and Lucian Savin, Coarse geometry and P. A. Smith
theory
Homology, Homotopy and Applications
13 (2011), 73-102 (HHA
Link)
[Download:
pdf ]
- Ian Hambleton, A remark about dihedral group actions on spheres
Bull. London Math. Soc. 43 (2011), 75-78 (BLMS
Link)
[Download:
pdf ]
- Ian Hambleton and Jean-Claude Hausmann, Conjugation spaces and 4-manifolds
Math. Zeitschrift 269 (2011), 521-541 (Springer
Link)
[Download:
pdf ]
- Ian Hambleton and Ergun Yalcin, Acyclic chain complexes over the
orbit category
Muenster Journal of Mathematics 3 (2010), 145-162 (
MJM
Link)
[Download:
pdf ]
- Ian Hambleton and Ozgun Unlu, Free actions of finite groups
on
$S^n x S^n$
Transactions AMS 362 (2010), 3289-3317 (TAMS
Link)
[Download: pdf ]
- Ian Hambleton and Jean-Claude Hausmann, Equivariant bundles
and isotropy representations
Groups, Geometry and Dynamics 4 (2010), 127-162 (GGD
Link)
[Download:
pdf
- Ian Hambleton, Laurence R. Taylor and E. Bruce Williams, Mackey
functors and bisets
Geometria Dedicata 148 (2010), 157-174
(Springer
Link)
[Download: pdf ]
- Ian Hambleton, Laurence R. Taylor and E. Bruce Williams, Dress induction and the Burnside
quotient Green ring
Algebra and Number Theory 3 (2009), 511-541 (ANT
Link)
[Download:
pdf ]
- Ian Hambleton, Matthias Kreck and Peter Teichner, Topological 4-manifolds with geometrically
2-dimensional fundamental groups
Journal of Topology and Analysis 1 (2009), 123-151 (JTA Link)
[Download:
pdf ]
- Ian Hambleton and Ozgun Unlu, Examples of free actions on
products of spheres
Quarterly Journal of Mathematics 60 (2009), 461-474
(QJM
Link)
[Download: pdf
]
- Stefan Friedl, Ian Hambleton, Paul Melvin, and Peter Teichner, Non-smoothable
four-manifolds with infinite cyclic fundamental group.
International Mathematical Research Notices (2007) (IMRN
Link)
[Download: pdf ]
- Ian Hambleton, Andrew J. Korzeniewski, and Andrew A. Ranicki, The
signature of a fibre bundle is multiplicative mod 4
Geometry & Topology 11
(2007), 251-314 (G
& T Link)
[Download: pdf ]
- Ian Hambleton, Some examples of free actions on products of
spheres
Topology 45 (2006), 735-749
(Elsevier
Link)
[Download: pdf ]
- Ian Hambleton and Erik K. Pedersen, Topological Equivalence
of
Linear Representations for Cyclic
Groups: I & II
[Download: part 1.pdf ]
Annals of Mathematics 161 (2005), 61-104 (Annals
Link)
[Download: part 2.pdf ]
Forum Math. 17 (2005),
959-1010
(Forum
Math Link)
- Ian Hambleton and Mihail Tanase, Permutations, isotropy and
smooth cyclic group actions
on definite 4-manifolds
Geometry & Topology 8 (2004), 475-509
(G
& T
Link)
[Download: pdf ]
- Ian Hambleton and Matthias Kreck, Homotopy
self-equivalences
of 4-manifolds
Math. Zeitschrift 248 (2004), 147-172 (Springer
Link)
[Download: pdf ]
(Erratum: pdf;
Addendum: pdf)
- Ian Hambleton and Erik K. Pedersen, Identifying assembly
maps
in K-theory and L-theory
Math. Ann. 328 (2004), 27-57 (Springer
Link)
[Download: pdf ]
Other Publications:
- Ian Hambleton,
The Legacy of Andrew Ranicki - a photo tour
(18:00 Tuesday, June 22, 2021)
Presentation at the ICMS Workshop, Edinburgh, June 21-25, 2021
[click on link in Programme for Tuesday 18:00 to view:
mp4 ]
- Ian Hambleton, Intersection Forms, Fundamental Groups and
4-manifolds (Feb. 25, 2009).
(This is a short survey of some old and new connections between the
intersection form
and the fundamental group for smooth and topological 4-manifolds.)
Proceedings of the Gokova Geometry-Topology Conference 2008 ,
137-150,
Int.
Press (2009).
[Download: pdf
- Ian Hambleton and Ozgun Unlu, Free actions of
extraspecial p-groups on $S^n \times S^n$ (Jan. 19, 2007).
(This is
a preliminary version of material that will be developed further and
divided into
two separate papers for publication)
[Download: pdf
- Geometry and Topology of Manifolds.
Conference held at McMaster University, May 14-18, 2004.
Edited by H. B. Boden, I. Hambleton, A. J.Nicas and B. D. Park.
Fields Institute Communications 47, Amer. Math. Soc. 2005
- Talk at the Arbeitstagung 2003, Bonn, Smooth Group
Actions on
4-Manifolds (June 14, 2003).
[Download: pdf ]
- Ian Hambleton and Ronnie Lee, A Four-Manifold Approach to
the
Spherical Space Form Problem
(Feb. 15, 2002).
[Download: pdf ]
- Ian Hambleton, Algebraic K- and L-theory and applications
to topology.
[Download:
pdf ]
Lecture Notes for the School in High-Dimensional Topology,
ICTP, Trieste, May 20 - June 8, 2001.
ICTP Lecture Notes Series Volume IX, Part 1, August 2002.
[Contents: ictp ]
last updated 6/10/2015