nLab Dave Auckly

David Robert Auckly

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Selected writings

On 2-Cohomotopy sets of 3-manifolds in the context of the Skyrme-Fadeev model:

• Dave Auckly, Lev Kapitanski: Analysis of $S^2$-valued maps and the Faddeev model, Commun. Math. Phys. 256 (2005) 611–620 [arXiv:math-ph/0403025, doi:10.1007/s00220-005-1289-6]

• Dave Auckly, Lev Kapitanski: The Pontrjagin-Hopf invariants for Sobolev maps, Communications in Contemporary Mathematics 12 01 (2010) 121-181 [arXiv:0711.0546, doi:10.1142/S0219199710003695]

On Gopakumar-Vafa duality with relation to perturbative quantization of 3d Chern-Simons theory, weight systems on chord diagrams, etc.:

• Dave Auckly, Sergiy Koshkin: Introduction to the Gopakumar-Vafa Large $N$ Duality, Geom. Topol. Monogr. 8 (2006) 195-456 [arXiv:0701568, pdf]

category: people