Publications

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  • D. Crowley, A Skopenkov. Embeddings of non-simply-connected 4-manifolds in 7-space. II. On the smooth classification. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1-19, 2021. doi: 10.1017/prm.2020.103.

  • Jonathan Bowden, D. Crowley, Jim Davis, Stefan Friedl, Carmen Rovi, Stephan Tillmann. Open Problems in the Topology of Manifolds. 4, 647-659, Springer International Publishing, 2021. doi: 10.1007/978-3-030-62497-2_39.

  • Imre Bokor, D. Crowley, Stefan Friedl, Fabian Hebestreit, Daniel Kasproswki, Markus Land, Johnny Nicholson. Connected Sum Decompositions of High-Dimensional Manifolds. 4, 5-30, Springer International Publishing, 2021. doi: 10.1007/978-3-030-62497-2_1.

  • D. Crowley, A Skopenkov. Embeddings of non-simply-connected 4-manifolds in 7-space. I. classification modulo knots. Moscow Mathematical Journal, 21, 43-98, 2021. doi: 10.17323/1609-4514-2021-21-1-43-98.

  • D. Crowley, Johannes Nordström. The rational homotopy type of (n−1)‐connected manifolds of dimension up to 5n−3. Journal of Topology, 13, 539-575, 2020. doi: 10.1112/topo.12133.

  • D. Crowley, J Nordström. Exotic G2 -manifolds. Mathematische Annalen, 1-46, 2020. doi: 10.1007/s00208-020-02009-1.

  • D. Crowley, Sebastian Goette, Johannes Nordström. Distinguishing G2-Manifolds. 143-172, Springer, 2020.

  • D. Crowley, Mark Grant. The Topological Period-Index Conjecture for spin(c) 6-manifolds. Annals of K-Theory, 5, 605-620, 2020. doi: 10.2140/akt.2020.5.605.

  • D. Crowley, Thomas Schick, Wolfgang Steimle. The derivative map for diffeomorphism of disks: An example. 2020.

  • D. Crowley, Johannes Nordstrom, Johannes Nordström. The classification of 2‐connected 7‐manifolds. Proceedings of the London Mathematical Society, 119, 1-54, 2019. doi: 10.1112/plms.12222.

  • D. Crowley, Tibor Macko. On the cardinality of the manifold set. Geometriae Dedicata, 200, 265-285, 2019. doi: 10.1007/s10711-018-0370-1.

  • Imre Bokor, D. Crowley, Stefan Friedl, Fabian Hebestreit, Daniel Kasprowski, Markus Land, Johnny Nicholson. Connected sum decompositions of high-dimensional manifolds. 2019.

  • D. Crowley, Thomas Schick, Wolfgang Steimle. Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets. JOURNAL OF TOPOLOGY, 11, 1077-1099, 2018. doi: 10.1112/topo.12081.

  • D. Crowley, Sebastian Goette, Johannes Nordström. Distinguishing G_2-manifolds. 2018.

  • D. Crowley, Mark Grant. The Poincare-Hopf Theorem for line fields revisited. Journal of Geometry and Physics, 117, 187-196, 2017. doi: 10.1016/j.geomphys.2017.03.011.

  • D. Crowley, David J Wraith. Positive Ricci curvature on highly connected manifolds. Journal of Differential Geometry, 106, 187-243, 2017. doi: 10.4310/jdg/1497405625.

  • D. Crowley, Tibor Macko. On the cardinality of the manifold set. 2017.

  • D. Crowley, David Wraith. Intermediate curvatures and highly connected manifolds. 2017.

  • D. Crowley, Thomas Schick, Wolfgang Steimle. Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets. 2016.

  • D. Crowley, A Skopenkov. Embeddings of non-simply-connected 4-manifolds in 7-space. II. On the smooth classification. 2016.

  • D. Crowley, A Skopenkov. Embeddings of non-simply-connected 4-manifolds in 7-space. I. Classification modulo knots. 2016.

  • Jonathan Bowden, D. Crowley, András I Stipsicz. The topology of Stein fillable manifolds in high dimensions, II. Geometry & Topology, 19, 2995-3030, 2015. doi: 10.2140/gt.2015.19.2995.

  • D. Crowley, Johannes Nordström. New invariants of G 2 –structures. Geometry & Topology, 19, 2949-2992, 2015. doi: 10.2140/gt.2015.19.2949.

  • D. Crowley, Ian Hambleton. Finite group actions on Kervaire manifolds. Advances in Mathematics, 283, 88-129, 2015. doi: 10.1016/j.aim.2015.06.010.

  • D. Crowley, Clara Löh. Functorial seminorms on singular homology and (in)flexible manifolds. Algebraic & Geometric Topology, 15, 1453-1499, 2015. doi: 10.2140/agt.2015.15.1453.

  • D. Crowley, Sebastian Goette, Johannes Nordström. An analytic invariant of G_2 manifolds. 2015.

  • D. Crowley, S. Ferry, Mikhail Skopenkov. The rational classification of links of codimension > 2. Forum Mathematicum, 26, 2014. doi: 10.1515/form.2011.158.

  • Jonathan Bowden, D. Crowley, András I Stipsicz. The topology of Stein fillable manifolds in high dimensions I. Proceedings of the London Mathematical Society, 109, 1363-1401, 2014. doi: 10.1112/plms/pdu028.

  • Jonathan Bowden, D. Crowley, András I Stipsicz, Bernd C Kellner. The topology of Stein fillable manifolds in high dimensions II. 2014.

  • D. Crowley, Johannes Nordström. Exotic G_2-manifolds. 2014.

  • D. Crowley, Johannes Nordström. The classification of 2-connected 7-manifolds. 2014.

  • D. Crowley, David J Wraith. Positive Ricci curvature on highly connected manifolds. 2014.

  • Jonathan Bowden, D. Crowley, András I Stipsicz. Contact structures on $$M imes S^2$$ M × S 2. Mathematische Annalen, 358, 351-359, 2013. doi: 10.1007/s00208-013-0963-9.

  • D. Crowley, Thomas Schick. The Gromoll filtration, KO–characteristic classes and metrics of positive scalar curvature. Geometry & Topology, 17, 1773-1789, 2013. doi: 10.2140/gt.2013.17.1773.

  • Jonathan Bowden, D. Crowley, András I Stipsicz. Contact structures on M imes S^2. 2013.

  • Jonathan Bowden, D. Crowley, András I Stipsicz. The topology of Stein fillable manifolds in high dimensions I. 2013.

  • D. Crowley, Ian Hambleton. Finite group actions on Kervaire manifolds. 2013.

  • D. Crowley, Sebastian Goette. Kreck-Stolz invariants for quaternionic line bundles. Transactions of the American Mathematical Society, 365, 3193-3225, 2012. doi: 10.1090/S0002-9947-2012-05732-1.

  • D. Crowley, Thomas Schick. The Gromoll filtration, KO-characteristic classes and metrics of positive scalar curvature. 2012.

  • D. Crowley, Johannes Nordström. New invariants of G_2-structures. 2012.

  • D. Crowley, Tibor Macko. The additivity of the ρ –invariant and periodicity in topological surgery. Algebraic & Geometric Topology, 11, 1915-1959, 2011. doi: 10.2140/agt.2011.11.1915.

  • D. Crowley, ARKADIY SKOPENKOV. A CLASSIFICATION OF SMOOTH EMBEDDINGS OF FOUR-MANIFOLDS IN SEVEN-SPACE, II. International Journal of Mathematics, 22, 731-757, 2011. doi: 10.1142/S0129167X11006969.

  • D. Crowley, Jörg Sixt. Stably diffeomorphic manifolds and l 2q+1(ℤ[Ï€]). Forum Mathematicum, 23, 2011. doi: 10.1515/form.2011.016.

  • D. Crowley, Steven C Ferry, Mikhail Skopenkov. The rational classification of links of codimension >2. 2011.

  • D. Crowley. The smooth structure set of S p × S q. Geometriae Dedicata, 148, 15-33, 2010. doi: 10.1007/s10711-010-9513-8.

  • D. Crowley. On the mapping class groups of # r (S p × S p ) for p = 3, 7. Mathematische Zeitschrift, 269, 1189-1199, 2010. doi: 10.1007/s00209-010-0777-3.

  • D. Crowley, Sebastian Goette. Kreck-Stolz invariants for quaternionic line bundles. 2010.

  • D. Crowley, Tibor Macko. The additivity of the $ ho$-invariant and periodicity in topological surgery. 2010.

  • D. Crowley, Peter Zvengrowski. On the non-invariance of span and immersion co-dimension for manifolds. Archivum Mathematicum, 44, 353-365, 2008.

  • D. Crowley, Arkadiy Skopenkov. A classification of smooth embeddings of 4-manifolds in 7-space, II. 2008.

  • D. Crowley, Jörg Sixt. Stably diffeomorphic manifolds and l_{2q+1}(Z[pi]). 2008.

  • D. Crowley, Christine M Escher. A classification of S3-bundles over S4. Differential Geometry and its Applications, 18, 363-380, 2003. doi: 10.1016/S0926-2245(03)00012-3.

  • D. Crowley. The classification of highly connected manifolds in dimensions 7 and 15. 2002.

  • D. Crowley, Christine M Escher. A classification of $S^3$-bundles over $S^4$. 2000.

  • Alan L Carey, D. Crowley, Michael K Murray. Principal Bundles and the Dixmier Douady Class. Communications in Mathematical Physics, 193, 171-196, 1998. doi: 10.1007/s002200050323.