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Bruce, Andrew James

Author ID: bruce.andrew-james Recent zbMATH articles by "Bruce, Andrew James"
Published as: Bruce, Andrew James; Bruce, Andrew J.; Bruce, Andrew
External Links: MGP · ORCID
Documents Indexed: 51 Publications since 2009, including 11 Additional arXiv Preprints
Reviewing Activity: 22 Reviews
Co-Authors: 12 Co-Authors with 24 Joint Publications
212 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 270 times in 115 Documents Cited by Year
On a \(\mathbb Z_2^n\)-graded version of supersymmetry. Zbl 1423.81090
Bruce, Andrew James
24
2019
Double-graded supersymmetric quantum mechanics. Zbl 1452.81119
Bruce, Andrew James; Duplij, Steven
22
2020
Linear duals of graded bundles and higher analogues of (Lie) algebroids. Zbl 1334.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
19
2016
Remarks on contact and Jacobi geometry. Zbl 1369.53057
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
19
2017
Higher order mechanics on graded bundles. Zbl 1392.53087
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
19
2015
From \(L_{\infty }\)-algebroids to higher Schouten/Poisson structures. Zbl 1237.53077
Bruce, Andrew James
16
2011
The graded differential geometry of mixed symmetry tensors. Zbl 1474.53289
Bruce, Andrew James; Ibarguengoytia, Eduardo
15
2019
\(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded supersymmetry: 2-d sigma models. Zbl 1519.81286
Bruce, Andrew James
14
2020
Graded bundles in the category of Lie groupoids. Zbl 1331.22006
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
12
2015
Functional analytic issues in \(\mathbb{Z}_2^n\)-geometry. Zbl 1431.58002
Bruce, Andrew James; Poncin, Norbert
12
2019
The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds. Zbl 1433.58011
Bruce, Andrew James; Ibarguengoytia, Eduardo; Poncin, Norbert
10
2020
Double-graded quantum superplane. Zbl 1527.81081
Bruce, Andrew James; Duplij, Steven
9
2020
Products in the category of \(\mathbb{Z}^n_2\)-manifolds. Zbl 1417.46034
Bruce, Andrew; Poncin, Norbert
9
2019
Pre-Courant algebroids. Zbl 1478.53135
Bruce, Andrew James; Grabowski, Janusz
9
2019
Is the \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded sine-Gordon equation integrable? Zbl 07408753
Bruce, Andrew James
8
2021
Introduction to graded bundles. Zbl 1395.55017
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
6
2017
Polarisation of graded bundles. Zbl 1359.58003
Bruce, Andrew James; Grabowski, Janusz; Rotkiewicz, Mikołaj
6
2016
Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions. Zbl 1477.58004
Bruce, Andrew James; Ibarguëngoytia, Eduardo; Poncin, Norbert
6
2021
Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids. Zbl 1235.53086
Bruce, Andrew James
5
2010
Representations up to homotopy from weighted Lie algebroids. Zbl 1437.16042
Bruce, Andrew James; Grabowski, Janusz; Vitagliano, Luca
4
2018
Modular classes of \(Q\)-manifolds: a review and some applications. Zbl 1424.53114
Bruce, Andrew James
3
2017
On curves and jets of curves on supermanifolds. Zbl 1340.58002
Bruce, Andrew James
3
2014
New developments in geometric mechanics. Zbl 1404.70050
Grabowski, Janusz; Bruce, Andrew J.; Grabowska, Katarzyna; Urbański, Paweł
3
2016
Symplectic \(\mathbb{Z}_2^n\)-manifolds. Zbl 1492.53092
Bruce, Andrew James; Grabowski, Janusz
3
2021
Odd connections on supermanifolds: existence and relation with affine connections. Zbl 1519.58003
Bruce, Andrew James; Grabowski, Janusz
3
2020
Higher contact-like structures and supersymmetry. Zbl 1251.81087
Bruce, Andrew James
2
2012
Kirillov structures up to homotopy. Zbl 1347.53068
Bruce, Andrew James; Tortorella, Alfonso Giuseppe
2
2016
On the concept of a filtered bundle. Zbl 1390.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
2
2018
Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids. Zbl 1267.53086
Bruce, Andrew James
2
2012
Killing sections and sigma models with Lie algebroid targets. Zbl 1353.53041
Bruce, Andrew James
1
2016
On a geometric framework for Lagrangian supermechanics. Zbl 1377.58001
Bruce, Andrew James; Grabowska, Katarzyna; Moreno, Giovanni
1
2017
Connections adapted to non-negatively graded structures. Zbl 1411.58001
Bruce, Andrew James
1
2019
Is the \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded sine-Gordon equation integrable? Zbl 07408753
Bruce, Andrew James
8
2021
Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions. Zbl 1477.58004
Bruce, Andrew James; Ibarguëngoytia, Eduardo; Poncin, Norbert
6
2021
Symplectic \(\mathbb{Z}_2^n\)-manifolds. Zbl 1492.53092
Bruce, Andrew James; Grabowski, Janusz
3
2021
Double-graded supersymmetric quantum mechanics. Zbl 1452.81119
Bruce, Andrew James; Duplij, Steven
22
2020
\(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded supersymmetry: 2-d sigma models. Zbl 1519.81286
Bruce, Andrew James
14
2020
The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds. Zbl 1433.58011
Bruce, Andrew James; Ibarguengoytia, Eduardo; Poncin, Norbert
10
2020
Double-graded quantum superplane. Zbl 1527.81081
Bruce, Andrew James; Duplij, Steven
9
2020
Odd connections on supermanifolds: existence and relation with affine connections. Zbl 1519.58003
Bruce, Andrew James; Grabowski, Janusz
3
2020
On a \(\mathbb Z_2^n\)-graded version of supersymmetry. Zbl 1423.81090
Bruce, Andrew James
24
2019
The graded differential geometry of mixed symmetry tensors. Zbl 1474.53289
Bruce, Andrew James; Ibarguengoytia, Eduardo
15
2019
Functional analytic issues in \(\mathbb{Z}_2^n\)-geometry. Zbl 1431.58002
Bruce, Andrew James; Poncin, Norbert
12
2019
Products in the category of \(\mathbb{Z}^n_2\)-manifolds. Zbl 1417.46034
Bruce, Andrew; Poncin, Norbert
9
2019
Pre-Courant algebroids. Zbl 1478.53135
Bruce, Andrew James; Grabowski, Janusz
9
2019
Connections adapted to non-negatively graded structures. Zbl 1411.58001
Bruce, Andrew James
1
2019
Representations up to homotopy from weighted Lie algebroids. Zbl 1437.16042
Bruce, Andrew James; Grabowski, Janusz; Vitagliano, Luca
4
2018
On the concept of a filtered bundle. Zbl 1390.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
2
2018
Remarks on contact and Jacobi geometry. Zbl 1369.53057
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
19
2017
Introduction to graded bundles. Zbl 1395.55017
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
6
2017
Modular classes of \(Q\)-manifolds: a review and some applications. Zbl 1424.53114
Bruce, Andrew James
3
2017
On a geometric framework for Lagrangian supermechanics. Zbl 1377.58001
Bruce, Andrew James; Grabowska, Katarzyna; Moreno, Giovanni
1
2017
Linear duals of graded bundles and higher analogues of (Lie) algebroids. Zbl 1334.58002
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
19
2016
Polarisation of graded bundles. Zbl 1359.58003
Bruce, Andrew James; Grabowski, Janusz; Rotkiewicz, Mikołaj
6
2016
New developments in geometric mechanics. Zbl 1404.70050
Grabowski, Janusz; Bruce, Andrew J.; Grabowska, Katarzyna; Urbański, Paweł
3
2016
Kirillov structures up to homotopy. Zbl 1347.53068
Bruce, Andrew James; Tortorella, Alfonso Giuseppe
2
2016
Killing sections and sigma models with Lie algebroid targets. Zbl 1353.53041
Bruce, Andrew James
1
2016
Higher order mechanics on graded bundles. Zbl 1392.53087
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
19
2015
Graded bundles in the category of Lie groupoids. Zbl 1331.22006
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz
12
2015
On curves and jets of curves on supermanifolds. Zbl 1340.58002
Bruce, Andrew James
3
2014
Higher contact-like structures and supersymmetry. Zbl 1251.81087
Bruce, Andrew James
2
2012
Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids. Zbl 1267.53086
Bruce, Andrew James
2
2012
From \(L_{\infty }\)-algebroids to higher Schouten/Poisson structures. Zbl 1237.53077
Bruce, Andrew James
16
2011
Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids. Zbl 1235.53086
Bruce, Andrew James
5
2010
all top 5

Cited by 118 Authors

23 Bruce, Andrew James
19 Grabowski, Janusz
13 Grabowska, Katarzyna
9 Aizawa, Naruhiko
6 Toppan, Francesco
6 Vitagliano, Luca
5 Poncin, Norbert
4 Amakawa, Kosuke
4 Doi, Shunya
4 Jóźwikowski, Michał
4 Kuznetsova, Zhanna G.
4 Rotkiewicz, Mikołaj
4 Stoilova, Nedjalka I.
4 Tortorella, Alfonso Giuseppe
4 Van der Jeugt, Joris
3 Bravetti, Alessandro
3 Carow-Watamura, Ursula
3 Colombo, Leonardo Jesus
3 de León Rodríguez, Manuel
3 Esen, Oğul
3 Isaac, Phillip S.
3 Schnitzer, Jonas
3 Watamura, Satoshi
3 Xu, Ping
2 Chatzistavrakidis, Athanasios
2 Covolo, Tiffany
2 Dereli, Tekin
2 Doğan, Keremcan
2 Duplij, Steven
2 Ibarguengoytia, Eduardo
2 Ikeda, Noriaki
2 Ito, Ren
2 Kuś, Marek
2 Marmo, Giuseppe
2 Meinrenken, Eckhard
2 Miura, Kohei
2 Ravanpak, Zohreh
2 Seol, Seokbong
2 Sheng, Yunhe
2 Stiénon, Mathieu
2 Wade, Aïssa
1 Abrunheiro, Lígia
1 Almutairi, Alhanouf M.
1 Aycan, Cansel
1 Bandiera, Ruggero
1 Behrend, Kai A.
1 Beltiţă, Daniel
1 Bi, Yanhui
1 Bischoff, Francis
1 Bursztyn, Henrique
1 Calderón Martín, Antonio Jesús
1 Caseiro, Raquel
1 Çelik, Salih
1 Cheikh, Diouf Mame
1 Chen, Zhuo
1 Das, Apurba
1 Diallo, Mamadou Lamarana
1 Dotsenko, Vladimir Viktorovich
1 Esposito, Chiara
1 Fan, Hongtao
1 Gaset, Jordi
1 Goliński, Tomasz
1 Govzmann, Alisa
1 Guha, Partha
1 Han, Rong
1 Jackman, Connor
1 Jiang, Nana
1 Jotz Lean, Madeleine
1 Kaneko, Tomokazu
1 Karagiannis, Georgios A.
1 Kudeyt, Mahmut
1 Kwok, Stephen Diwen
1 Laínz, Manuel
1 Lang, Honglei
1 Laurent-Gengoux, Camille
1 Liao, Hsuan-Yi
1 Lima, Hudson
1 Liu, Jiefeng
1 Loizides, Yiannis
1 Markl, Martin
1 Marotta, Vincenzo Emilio
1 Marrero, Juan Carlos
1 Martín de Diego, David
1 Mohammadi, Mohammad Hassan
1 Moreno, Giovanni
1 Norbert, Poncin Sarah Schouten
1 Padrón, Edith
1 Peddie, Matthew T.
1 Pessers, Victor
1 Pištalo, Damjan
1 Popescu, Marcela
1 Popescu, Paul P.
1 Prykarpatsky, Anatoliy Karolevych
1 Remm, Elisabeth
1 Respondek, Witold
1 Rivas, Xavier
1 Román-Roy, Narciso
1 Sardanashvily, Gennadi A.
1 Sardón, Cristina
1 Schupp, Peter
...and 18 more Authors
all top 5

Cited in 42 Serials

12 Journal of Physics A: Mathematical and Theoretical
10 Journal of Mathematical Physics
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Journal of Geometry and Physics
7 International Journal of Geometric Methods in Modern Physics
7 Journal of Geometric Mechanics
5 Communications in Mathematical Physics
5 Differential Geometry and its Applications
4 Letters in Mathematical Physics
4 Nuclear Physics. B
3 Reports on Mathematical Physics
3 Communications in Contemporary Mathematics
3 Journal of High Energy Physics
2 Mathematische Zeitschrift
2 Annals of Global Analysis and Geometry
2 Journal of Lie Theory
2 Journal of Noncommutative Geometry
2 Journal of Mathematics
1 Communications in Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reviews in Mathematical Physics
1 Fortschritte der Physik
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archivum Mathematicum
1 Compositio Mathematica
1 Dissertationes Mathematicae
1 Note di Matematica
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Turkish Journal of Mathematics
1 Advances in Applied Clifford Algebras
1 Discrete and Continuous Dynamical Systems
1 Mathematical Physics, Analysis and Geometry
1 The Quarterly Journal of Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Mediterranean Journal of Mathematics
1 São Paulo Journal of Mathematical Sciences
1 European Journal of Mathematics
1 Complex Manifolds
1 Electronic Research Archive
1 Graduate Journal of Mathematics

Citations by Year