# Research

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Topological quantum field theory and polynomial identities for graphs on the torus. arXiv:1902.02760 . 2019.Abstract PDF

. Universal Surgery Problems with Trivial Lagrangian. Math. Res. Letters, to appear. 2019.Abstract 1901.05951.pdf

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Structure of the flow and Yamada polynomials of cubic graphs. arXiv preprint arXiv:1801.00502. 2018.Abstract PDF

. A homotopy+ solution to the AB slice problem. Journal of Knot Theory and Its Ramifications. 2017;26 (02) :1740018. PDF

. Engel groups and universal surgery models. arXiv preprint arXiv:1707.07800. 2017. PDF

. Engel relations in 4-manifold topology, in Forum of Mathematics, Sigma. Vol 4. Cambridge University Press ; 2016. PDF

. Tutte relations, TQFT, and planarity of cubic graphs. Illinois Journal of Mathematics. 2016;60 (1) :273–288. PDF

. “Slicing” the Hopf link. Geometry & Topology. 2015;19 (3) :1657–1683. PDF

. A polynomial invariant and duality for triangulations. Electron. J. Combin. 2014;21 (3) :Paper 3.42. PDF

. Geometric complexity of embeddings in Rd. Geometric and Functional Analysis (GAFA). 2014;24 (5) :1406–1430. PDF

. Handle slides and localizations of categories. International Mathematics Research Notices. 2013;2013 (10) :2179–2202. PDF

. Categorification of the Jones-Wenzl projectors. Quantum Topology. 2012;3 :139–180. PDF

. Topological arbiters. Journal of Topology. 2012;5 (1) :226–247. PDF

. Link groups of 4–manifolds. Geometry & Topology Monographs. 2012;18 :199–234. PDF

. SO (3) homology of graphs and links. Algebraic & Geometric Topology. 2011;11 (4) :2137–2166. PDF

. Graphs, links, and duality on surfaces. Combinatorics, Probability and Computing. 2011;20 (2) :267–287. PDF

. Robust 4-manifolds and robust embeddings. Pacific J. Math. . 2010;248 :191–202. PDF

. Link invariants, the chromatic polynomial and the Potts model. Advances in theoretical and mathematical physics. 2010;14 (2) :507–540. PDF

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