Scientific works of Diarmuid Crowley

• MathSciNet reviews • Zentralblatt reviews • ArXiv postings •

Book project

with Wolfgang Lück and Tibor Macko : Surgery Theory: Foundations

Submitted/posted papers

with Johannes Nordström : Exotic G₂ manifolds. arXiv:1411.0656
with Jonathan Bowden and András Stipsicz : The topology of Stein fillable manifolds in high dimensions II. arXiv:1409.7504
with Johannes Nordström : The classification of 2-connected 7-manifolds. arXiv:1406.2226
with David Wraith : Positive Ricci curvature on highly connected manifolds. arXiv:1404.7446
with Ian Hambleton : Finite group actions on Kervaire manifolds. arXiv:1305.6546
with Johannes Nordström : A new invariant of G_2 structures. arXiv:1211.0269

Accepted papers

with Clara Löh : Functorial semi-norms on singular homology and (in)flexible manifolds. To appear in Algebr. Geom. Topol.. arXiv:1103.4139

Papers online ahead of print

with Jonathan Bowden and András Stipsicz : The topology of Stein fillable manifolds in high dimensions I, Proc. Lond. Math. Soc.. arXiv:1306.2746

Published papers

with Jonathan Bowden and András Stipsicz : Contact structures on M x S², Math. Ann. 358 (2014), 351–359. arXiv:1305.3121
with Steve Ferry and Mikhail Skopenkov : The rational classification of links of codimension > 2, Forum Math. 26 (2014), 239–269. arXiv1106.145
with Thomas Schick : The Gromoll filtration, KO-characteristic classes and metrics of positive scalar curvature, Geom. Topol. 17 (2013), 1773–1789. arXiv1204.6474
with Sebastian Goette : Kreck-Stolz invariants for quaternionic line bundles, Trans. Amer. Math. Soc. 365 (2013), 3193–3225. arXiv:1012.5237
On the mapping class groups of \#_r(S^p \times S^p) for p = 3, 7, Math. Zeit. 269 (2011), 1189–1199. arXiv:0905.0423
with Joerg Sixt : Stably diffeomorphic manifolds and l_{2q+1}(Z[\pi]), Forum Math. 23 (2011), 483–538. arXiv:0808.2008
with Arkadiy Skopenkov : A Classification of Smooth Embeddings of 4-manifolds in 7-space II, Internat. J. Math. 22 (2011), 731–757. arXiv:0808.1795
with Tibor Macko : The additivity of the \rho-invariant and periodicity in topological surgery, Algebr. Geom. Topol. 11 (2011), 1915–1959. arXiv:1002.1917
The smooth structure set of S^p \times S^q, Geom. Dedicata 148 (2010), 15–33. arXiv:0904.1370
with Peter Zvengrowski : On the non-invariance of span and immersion co-dimension for manifolds, Arch. Math. (Brno) 44 (2008), 353–365.
with Christine Escher : A classification of S^3-bundles over S^4, Differential. Geom. Appl. 18 (2003), 363–380. arXiv:0004147
with Alan Carey and Michael Murray : Principle bundles and the Dixmier Duoady class, Comm. Math. Phys. 193 (1998), 171–196. arXiv:9702147

Surveys and definitions

with Matthias Kreck : Hirzebruch surfaces, Bull. Man. Atl. (2011).
5-manifolds: 1-connected, Bull. Man. Atl. (2011).
with Matthias Kreck : Microbundle, Bull. Man. Atl. (2013).

Dissertation: Indiana University 2002

On the classification of highly connected manifolds in dimensions 7 and 15, Bloomington, Indiana (2002). arXiv:0203253 - Corrections at the Manifold Atlas

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