Göm meny

Publications

  1. Pseudo-Riemannian geometry in terms of multi-linear brackets
    J. Arnlind and G. Huisken. Lett. Math. Phys. 104 (1507-1521) 2014.
  2. Curvature and geometric modules of noncommutative spheres and tori
    J. Arnlind. J. Math. Phys. 55 (041705) 2014.
  3. Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
    J. Arnlind, A. Kitouni, A. Makhlouf and S. Silvestrov. Algebra, Geometry and Mathematical Physics (AGMP Mulhouse 2011), Springer Proceedings in Mathematics & Statistics vol. 85, 2014.
  4. The world as quantized minimal surfaces
    J. Arnlind and J. Hoppe. Phys. Lett. B. 723 (397-400) 2013.
  5. Deformed noncommutative tori
    J. Arnlind and H. Grosse. J. Math. Phys. 53 (073505) 2012.
  6. Multi linear formulation of differential geometry and matrix regularizations
    J. Arnlind, J. Hoppe and G. Huisken. J. Diff. Geo. 91 (1-40) 2012.
  7. Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
    J. Arnlind, A. Makhlouf, and S. Silvestrov. J. Math. Phys. 52 (123502) 2011.
  8. Discrete Minimal Surface Algebras
    J. Arnlind, J. Hoppe. SIGMA 6 (042) 2010.
  9. Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras
    J. Arnlind, A. Makhlouf and S. Silvestrov. J. Math. Phys 51 (043515) 2010.
  10. Affine transformation crossed product type algebras and noncommutative surfaces
    J. Arnlind, S. Silvestrov. Contemp. Math. 503 (1-26) 2009.
  11. Fuzzy Riemann Surfaces
    J. Arnlind, M. Bordemann, L. Hofer, J. Hoppe, H. Shimada. J. High Energy Phys. JHEP06(2009)047.
  12. Noncommutative Riemann Surfaces by embeddings in R3
    J. Arnlind, M. Bordemann, L. Hofer, J. Hoppe, H. Shimada. Comm. Math. Phys. 288 (403-429) 2009.
  13. Representation theory of C-algebras for a higher order class of spheres and tori
    J. Arnlind. J. Math. Phys. 49 (053502) 2008.
  14. Goldfish Geodesics and Hamiltonian Reduction of Matrix Dynamics
    J. Arnlind, M. Bordemann, J. Hoppe and C. Lee. Lett. Math. Phys 84 (89-98) 2008.
  15. Eigenvalue dynamics, follytons and large N limits of matrices
    J. Arnlind and J. Hoppe. Applications of random matrices in physics, 89-94, NATO Sci. Ser. II Math. Phys. Chem.,
    221, Springer, Dordrecht, 2006.
  16. Spinning Membranes
    J. Arnlind, J. Hoppe and S. Theisen. Physics Letters B 599 (118-128), 2004.
  17. Eigenvalue-Dynamics off the Calogero-Moser system
    J. Arnlind, J. Hoppe. Lett. Math. Phys. 68 (121-129), 2004.
  18. Trace extensions, Determinant Bundles and Gauge Group Cocycles
    J. Arnlind and J. Mickelsson. Lett. Math. Phys. 62 (101-110), 2002.

Preprints

  1. Riemannian curvature of the noncommutative 3-sphere via pseudo-Riemannian calculi
    J. Arnlind and M. Wilson. arXiv:1505.07330, 2015.
  2. An axiomatic approach to gradients with applications to Dirichlet and obstacle problems beyond function spaces
    J. Arnlind, A. Björn and J. Björn. arXiv:1501.06696, 2015.
  3. Classical mechanics of minimal tori in S3
    J. Arnlind, J. Choe and J. Hoppe. arXiv:1307.2255, 2013.
  4. Noncommutative Minimal Surfaces
    J. Arnlind, J. Choe and J. Hoppe. arXiv:1301.0757, 2013.
  5. On the geometry of Kähler-Poisson structures
    J. Arnlind and G. Huisken. arXiv:1103.5862, 2011.
  6. On the classical geometry of embedded manifolds in terms of Nambu brackets
    J. Arnlind, J. Hoppe and G. Huisken. arXiv:1003.5981, 2010.
  7. Discrete curvature and the Gauss-Bonnet theorem
    J. Arnlind, J. Hoppe and G. Huisken. arXiv:1001.2223, 2010.
  8. On the classical geometry of embedded surfaces in terms of Poisson brackets
    J. Arnlind, J. Hoppe and G. Huisken. arXiv:1001.1604, 2010.
  9. Classical Solutions in the BMN Matrix Model
    J. Arnlind and J. Hoppe. hep-th/0312166, 2003.
  10. More Membrane Matrix Model Solutions, and Minimal Surfaces in S7
    J. Arnlind and J. Hoppe. hep-th/0312062, 2003.

  11. Sidansvarig: joakim.arnlind@liu.se
    Senast uppdaterad: 2015-07-15