The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module JF Martins, R Picken
Differential Geometry and its Applications 29 (2), 179-206, 2011
81 2011 On two-dimensional holonomy J Martins, R Picken
Transactions of the American Mathematical Society 362 (11), 5657-5695, 2010
67 2010 Surface holonomy for non-abelian 2-bundles via double groupoids JF Martins, R Picken
Advances in Mathematics 226 (4), 3309-3366, 2011
64 2011 Topological phases from higher gauge symmetry in A Bullivant, M Calçada, Z Kádár, P Martin, JF Martins
Physical Review B 95 (15), 155118, 2017
62 2017 Lie crossed modules and gauge-invariant actions for 2-BF theories J Martins, A Miković
Advances in Theoretical and Mathematical Physics 15 (4), 1059-1084, 2011
60 2011 On Yetter's invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups JF Martins, T Porter
arXiv preprint math/0608484, 2006
58 2006 Observables in the Turaev-Viro and Crane-Yetter models JW Barrett, J Faria Martins, JM García-Islas
Journal of Mathematical Physics 48 (9), 2007
54 2007 Higher lattices, discrete two-dimensional holonomy and topological phases in ( A Bullivant, M Calçada, Z Kádár, JF Martins, P Martin
Reviews in Mathematical Physics 32 (04), 2050011, 2020
36 2020 The fundamental crossed module of the complement of a knotted surface J Faria Martins
Transactions of the American Mathematical Society 361 (9), 4593-4630, 2009
34 2009 The fundamental 2-crossed complex of a reduced CW-complex JF Martins
Homology, Homotopy and Applications 13 (2), 129-157, 2011
25 2011 Representations of the loop braid group and Aharonov-Bohm like effects in discrete (3+ 1)-dimensional higher gauge theory A Bullivant, JF Martins, P Martin
arXiv preprint arXiv:1807.09551, 2018
23 * 2018 Invariants of welded virtual knots via crossed module invariants of knotted surfaces LH Kauffman, JF Martins
Compositio Mathematica 144 (4), 1046-1080, 2008
23 2008 Categorical groups, knots and knotted surfaces JF Martins
arXiv preprint math/0502562, 2005
20 2005 Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy JF Martins
Journal of Geometry and Physics 99, 68-110, 2016
19 2016 On the homotopy type and the fundamental crossed complex of the skeletal filtration of a CW-complex JF Martins
Homology, Homotopy and Applications 9 (1), 295-329, 2007
19 2007 Pointed homotopy and pointed lax homotopy of 2-crossed module maps B Gohla, JF Martins
Advances in Mathematics 248, 986-1049, 2013
18 2013 Categorifying the Knizhnik–Zamolodchikov connection LS Cirio, JF Martins
Differential Geometry and its Applications 30 (3), 238-261, 2012
14 2012 Spin foam perturbation theory for three-dimensional quantum gravity JF Martins, A Miković
Communications in Mathematical Physics 288, 745-772, 2009
11 2009 A cubical set approach to 2-bundles with connection and Wilson surfaces JF Martins, R Picken
arXiv preprint arXiv:0808.3964, 2008
11 * 2008 Invariants of spin networks embedded in three-manifolds JF Martins, A Miković
Communications in mathematical physics 279, 381-399, 2008
10 2008 
Paul MartinProfessor, University of LeedsEmail confirmado em leeds.ac.uk
