Publikationen
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Publications 2025
Anna Beliakova and Jan Haller (2025).
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Publications before 2025
Anna Beliakova, Krzysztof Putyra, Stephan Wehrli, Matt Hogancamp. On unification of colored annular sl(2) knot homology. arXiv:2305.02977
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Anna Beliakova, Marco De Renzi, Riccardo Piergallini, Ivelina Bobtcheva (2024). On Algebraization in Low-Dimensional Topology . arXiv:2312.15986
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Anna Beliakova, Christian Blanchet, Aleksei Andreev (2024). Abelian TQFTS and Schrödinger local systems . Quantum Topology 15.3: 687-719 (2024) [pdf]
Anna Beliakova, Krzysztof Putyra, Emmanuel Wagner, Louis-Hadrien Robert (2022). A proof of Dunfield-Gukov-Rasmussen Conjecture . arXiv:2210.00878 [pdf]
Anna Beliakova, Marco De Renzi (2022). Refined Bobtcheva-Messia Invariants of 4-Dimensional 2-Handlebodies
[pdf]
Anna Beliakova, Marco De Renzi (2021). Kerler-Lyubashenko Functors on 4-Dimensional 2-Handlebodies
. Intern. Math. Research Notices [pdf]
Anna Beliakova, Krzysztof Putyra, Matt Hogancamp, Stephan Wehrli. On the functoriality of sl(2) tangle homology [pdf]
Anna Beliakova, E. Gorsky (2021). Cyclotomic expansions for glN knot invariants via interpolation Macdonald polynomials . Selecta Mathematica (2024) 30:101 [pdf]
Anna Beliakova, K. Hikami. Non-semisimple invariants and Habiro series. Topology & Geometry: Special Issue Dedicated to Vladimir G. Turaev, EMS Publishing House, Berlin (2021) [pdf]
Anna Beliakova, Christian Blanchet, Azat Gainutdinov. Modified trace is a symmetrised integral (2021). Selecta Mathematica, Vol. 27, pp. 1-51 [pdf]
Anna Beliakova, Kazuo Habiro. A categorification of the ribbon element in quantum sl(2) . Acta Math. Vietnamica, Vol. 46 pp. 225–264 [pdf]
Anna Beliakova, Krzysztof Putyra, Stephan Wehrli. Quantum Link Homology via Trace Functor I . Inventiones mathematicae, Vol. 215, Issue 2 pp. 383–492 [pdf]
Anna Beliakova, Christian Blanchet, Nathan Geer. Logarithmic Hennings invariants for restricted quantum SL(2). Algebraic & Geometric Topology, Vol. 18 (2018) pp. 4329-4358 [pdf]
Anna Beliakova, Benjamin Cooper (2013). Steenrod Structures on Categorified Quantum Groups . Fund. Math., Vol. 241 (2018) pp. 179-207 [pdf]
Anna Beliakova, Kazuo Habiro, Aaron Lauda, Ben Webster (2014). Current algebras and categorified quantum groups. J. Lond. Math. Soc. (2), Vol. 95 (2017) no. 1, pp. 1-29 [pdf]
Anna Beliakova, Kazuo Habiro, Aaron Lauda, Ben Webster (2015). Cyclicity for categorified quantum groups. Journal of Algebra, Vol. 452 (2016) pp. 118-132 [pdf]
Anna Beliakova, Kazuo Habiro, Aaron Lauda, Marko Zivkovic (2014). Trace decategorification of categorified quantum sl(2) . Math. Annalen, Vol. 367, no. 1-2 (2016) pp. 1-44 [pdf]
Anna Beliakova, T. Le, Qi Chen (2010). On the integrality of Witten-Reshetikhin-Turaev 3-manifold invariants . Quantum Topology, Vol. 5, Issue 1 (2014) pp. 99–141
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Anna Beliakova, Aaron Lauda (2013). Categorified quantum sl(2) is an inverse limit of flag 2-categories . Transformation Groups, Vol. 19, Issue 1 (2014) pp. 1-26
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Anna Beliakova, Mikhail Khovanov, Aaron Lauda (2010). A categorification of the Casimir of quantum sl(2). Advances in Mathematics, Vol. 230, Issue 3 (2012) pp. 1442-1501 [pdf]
Anna Beliakova, Irmgard Bühler, T. Le (2007). Unified SO(3) quantum invariant for rational homology 3-Spheres. Inventiones, Vol. 185, Issue 1 (2011) pp. 121-174 [pdf]
Anna Beliakova, Kazuo Habiro, Aaron Lauda, Zaur Guliyev (2014). Trace as an alternative decategorification functor. Acta Math. Vietnamica, Vol. 39, Issue 4 (2014) pp. 425-480 [pdf]
Anna Beliakova, T. Le (2010). On the unification of quantum 3-manifold invariants. Introductory Lectures on Knot Theory (L. H. Kauffman, S. Lambropoulou, S. Jablan, J. H. Przytycki, eds.), World Scientific, Vol.46, (2012) pp. 1-21 [pdf]
Anna Beliakova, Christian Blanchet, T. Le (2007). Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion. Fund. Math., Vol. 201 (2008) pp. 217-239 [pdf]
Anna Beliakova, Emmanuel Wagner (2010). On link homology theories from extended cobordisms. Quantum Topology., Vol. 1 (2010) pp. 379–398 [pdf]
Anna Beliakova. On simplification of combinatorial link Floer homology. Journal of Knot Theory Ram., Oberwolfach Proceedings, Vol. 3 (2010) pp. 1-19 [pdf]
Anna Beliakova, Christian Blanchet, Eva Gabriela Contreras (2017). Spin Modular Categories. Quantum Topology, Vol. 8, Issue 3 (2017) pp. 459–504 [pdf]
Anna Beliakova, Stephan Wehrli (2006). Categorification of the colored Jones polynomial and Rasmussen invariant of links. Canad. J. Math., Vol. 60 (2008) pp. 1240-1266
[pdf]
Anna Beliakova, Thang Le (2006). Integrality of quantum 3-manifold invariants and rational surgery formula. Compositio Mathematica, Vol. 143, Issue 06 (2007) pp. 1593-1612 [pdf]
Anna Beliakova (2003). Geometric construction of spinors in orthogonal modular categories. Alg. & Geom. Topology, Vol. 3 (2003) pp. 969-992 [pdf]
Anna Beliakova, Christian Blanchet (2001). Modular categories of types B, C and D. Comment. Math. Helvetica, Vol. 76 (2001) pp. 467-500 [pdf]
Anna Beliakova, Christian Blanchet (2001). Skein construction of idempotents in Birman-Murakami-Wenzl algebras. Math. Annalen, Vol. 321 (2001) pp. 347-373 [pdf]
Anna Beliakova, N. Habegger (2000). The Casson-Walker-Lescop invariant as a quantum 3-manifold invariant. J. of Knot Theory and its Ramifications, Vol. 9 (2000), pp. 459-470 [pdf]
Anna Beliakova, A. Schumakovich (2000). Aufloesung mathematischer Knoten,. Uni Nova, Vol. 87 (2000) pp. 45-50 [pdf]
Anna Beliakova (1999). Refined invariants and TQFT's from Homfly skein theory. J. of Knot Theory and Its Ramifications, Vol. 8 (1999) pp. 569-587 [pdf]
Anna Beliakova (1998). Spin topological quantum field theories. Int. J. of Math., Vol. 9 (1998) pp. 129-152 [pdf]
Anna Beliakova, B. Durhuus (1996). On the relation between two quantum group invariants of 3-cobordisms. J. Geom. Phys., Vol. 20 (1996) pp. 305-317 [pdf]
Anna Beliakova, B. Durhuus (1995). Topological quantum field theory and invariants of graphs for quantum groups. Comm. Math. Phys., Vol. 167 (1995) pp. 395-429 [pdf]
Anna Beliakova, Christian Blanchet, T. Le (2005). [pdf]
Anna Beliakova, Stephan Wehrli (2005). [pdf]
