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 dimensions 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 | 55 | 2007 |
Higher lattices, discrete two-dimensional holonomy and topological phases in ()D with higher gauge symmetry 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 |