Dr Brendan Owens

  • Senior Lecturer (Mathematics)

telephone: 01413304750
email: Brendan.Owens@glasgow.ac.uk

R431 Level 4
Mathematics
Mathematics Building
Glasgow G12 8QW

Research interests

Personal website

Research Interests

My research is in smooth low-dimensional topology: 4-manifolds, 3-manifolds, and knots. I am particularly interested in concordance of knots and homology cobordism of 3-manifolds, and in the application of gauge theoretic invariants and Floer homologies.

Research Groups


Publications

All publications | View selected publications

List all by: Type | Date

Jump to: 2016 | 2015 | 2014 | 2012 | 2010 | 2008 | 2007 | 2006 | 2005 | 2001
Number of items: 14.

2016

Owens, B. and Strle, S. (2016) Immersed disks, slicing numbers and concordance unknotting numbers. Communications in Analysis and Geometry, 24(5), pp. 1107-1138. (doi:10.4310/CAG.2016.v24.n5.a8)

2015

Nagel, M. and Owens, B. (2015) Unlinking information from 4-manifolds. Bulletin of the London Mathematical Society, 47(6), pp. 964-979. (doi:10.1112/blms/bdv072)

Lisca, P. and Owens, B. (2015) Signatures, Heegaard Floer correction terms and quasi-alternating links. Proceedings of the American Mathematical Society, 143, pp. 907-915. (doi:10.1090/S0002-9939-2014-12265-9)

2014

Bieri, R., Kropholler, P. and Owens, B. (2014) On subsets of S^n whose (n + 1)-point subsets are contained in open hemispheres. New York Journal of Mathematics, 20, pp. 1021-1041.

2012

Owens, B. and Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds. Selecta Mathematica - New Series, 18(4), pp. 839-854. (doi:10.1007/s00029-012-0086-2)

Owens, B. and Strle, S. (2012) A characterisation of the Z^n + Zδ lattice and definite nonunimodular intersection forms. American Journal of Mathematics, 134(4), pp. 891-913. (doi:10.1353/ajm.2012.0026)

Donald, A. and Owens, B. (2012) Concordance groups of links. Algebraic and Geometric Topology, 12(4), pp. 2069-2093. (doi:10.2140/agt.2012.12.2069)

2010

Owens, B. (2010) On slicing invariants of knots. Transactions of the American Mathematical Society, 362, pp. 3095-3106. (doi:10.1090/S0002-9947-09-04904-6)

2008

Owens, B. (2008) Unknotting information from Heegaard Floer homology. Advances in Mathematics, 217(5), pp. 2353-2376. (doi:10.1016/j.aim.2007.10.006)

2007

Manolescu, C. and Owens, B. (2007) A concordance invariant from the Floer homology of double branched covers. International Mathematics Research Notices, 2007, (doi:10.1093/imrn/rnm077)

2006

Owens, B. and Strle, S. (2006) A characterisation of the n<1>+<3> form and applications to rational homology spheres. Mathematical Research Letters, 13(2), pp. 259-271.

Owens, B. and Strle, S. (2006) Rational homology spheres and the four-ball genus of knots. Advances in Mathematics, (doi:10.1016/j.aim.2004.12.007)

2005

Owens, B. and Strle, S. (2005) Definite manifolds bounded by rational homology three spheres. In: Geometry and Topology of Manifolds, McMaster University, Ontario, May 14-18, 2004, pp. 243-252.

2001

Owens, B. (2001) Instantons on cylindrical manifolds and stable bundles. Geometry and Topology, 5, pp. 761-797. (doi:10.2140/gt.2001.5.761)

This list was generated on Mon Nov 20 17:22:43 2017 GMT.
Number of items: 14.

Articles

Owens, B. and Strle, S. (2016) Immersed disks, slicing numbers and concordance unknotting numbers. Communications in Analysis and Geometry, 24(5), pp. 1107-1138. (doi:10.4310/CAG.2016.v24.n5.a8)

Nagel, M. and Owens, B. (2015) Unlinking information from 4-manifolds. Bulletin of the London Mathematical Society, 47(6), pp. 964-979. (doi:10.1112/blms/bdv072)

Lisca, P. and Owens, B. (2015) Signatures, Heegaard Floer correction terms and quasi-alternating links. Proceedings of the American Mathematical Society, 143, pp. 907-915. (doi:10.1090/S0002-9939-2014-12265-9)

Bieri, R., Kropholler, P. and Owens, B. (2014) On subsets of S^n whose (n + 1)-point subsets are contained in open hemispheres. New York Journal of Mathematics, 20, pp. 1021-1041.

Owens, B. and Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds. Selecta Mathematica - New Series, 18(4), pp. 839-854. (doi:10.1007/s00029-012-0086-2)

Owens, B. and Strle, S. (2012) A characterisation of the Z^n + Zδ lattice and definite nonunimodular intersection forms. American Journal of Mathematics, 134(4), pp. 891-913. (doi:10.1353/ajm.2012.0026)

Donald, A. and Owens, B. (2012) Concordance groups of links. Algebraic and Geometric Topology, 12(4), pp. 2069-2093. (doi:10.2140/agt.2012.12.2069)

Owens, B. (2010) On slicing invariants of knots. Transactions of the American Mathematical Society, 362, pp. 3095-3106. (doi:10.1090/S0002-9947-09-04904-6)

Owens, B. (2008) Unknotting information from Heegaard Floer homology. Advances in Mathematics, 217(5), pp. 2353-2376. (doi:10.1016/j.aim.2007.10.006)

Manolescu, C. and Owens, B. (2007) A concordance invariant from the Floer homology of double branched covers. International Mathematics Research Notices, 2007, (doi:10.1093/imrn/rnm077)

Owens, B. and Strle, S. (2006) A characterisation of the n<1>+<3> form and applications to rational homology spheres. Mathematical Research Letters, 13(2), pp. 259-271.

Owens, B. and Strle, S. (2006) Rational homology spheres and the four-ball genus of knots. Advances in Mathematics, (doi:10.1016/j.aim.2004.12.007)

Owens, B. (2001) Instantons on cylindrical manifolds and stable bundles. Geometry and Topology, 5, pp. 761-797. (doi:10.2140/gt.2001.5.761)

Conference Proceedings

Owens, B. and Strle, S. (2005) Definite manifolds bounded by rational homology three spheres. In: Geometry and Topology of Manifolds, McMaster University, Ontario, May 14-18, 2004, pp. 243-252.

This list was generated on Mon Nov 20 17:22:43 2017 GMT.

Grants


Supervision

Current PhD students

Daniel Waite
Vitalijs Brejevs


Teaching


Additional information