The Witt group of non-degenerate braided fusion categories A Davydov, M Müger, D Nikshych, V Ostrik Journal für die reine und angewandte Mathematik (Crelles Journal) 2013 (677 …, 2013 | 173 | 2013 |

On the structure of the Witt group of braided fusion categories A Davydov, D Nikshych, V Ostrik Selecta Mathematica 19 (1), 237-269, 2013 | 67 | 2013 |

Field theories with defects and the centre functor A Davydov, L Kong, I Runkel Mathematical foundations of quantum field theory and perturbative string …, 2011 | 57 | 2011 |

The Picard crossed module of a braided tensor category A Davydov, D Nikshych Algebra & Number Theory 7 (6), 1365-1403, 2013 | 51 | 2013 |

Galois algebras and monoidal functors between categories of representations of finite groups AA Davydov Journal of Algebra 244 (1), 273-301, 2001 | 46 | 2001 |

Centre of an algebra A Davydov Advances in Mathematics 225 (1), 319-348, 2010 | 37 | 2010 |

Twisting of monoidal structures AA Davydov arXiv preprint q-alg/9703001, 1997 | 37 | 1997 |

Invertible defects and isomorphisms of rational CFTs A Davydov, L Kong, I Runkel Advances in Theoretical and Mathematical Physics 15 (1), 43-69, 2011 | 35 | 2011 |

Modular invariants for group-theoretical modular data. I A Davydov Journal of Algebra 323 (5), 1321-1348, 2010 | 30 | 2010 |

Twisted automorphisms of Hopf algebras A Davydov arXiv preprint arXiv:0708.2757, 2007 | 30* | 2007 |

Twisted automorphisms of Hopf algebras A Davydov arXiv preprint arXiv:0708.2757, 2007 | 21 | 2007 |

Monoidal categories AA Davydov J. Math. Sci.(New York) 88, 457-519, 1998 | 20 | 1998 |

Bogomolov multiplier, double class-preserving automorphisms, and modular invariants for orbifolds A Davydov Journal of Mathematical Physics 55 (9), 092305, 2014 | 18 | 2014 |

Z/2Z-extensions of Hopf algebra module categories by their base categories A Davydov, I Runkel Advances in Mathematics 247, 192-265, 2013 | 18 | 2013 |

Functoriality of the center of an algebra A Davydov, L Kong, I Runkel Advances in Mathematics 285, 811-876, 2015 | 16 | 2015 |

Categories in algebra, geometry and mathematical physics JC Baez, U Schreiber Contemporary Mathematics 431, 7-30, 2007 | 13 | 2007 |

Commutative algebras in Fibonacci categories T Booker, A Davydov Journal of Algebra 355 (1), 176-204, 2012 | 12 | 2012 |

Totally positive sequences and R-matrix quadratic algebras AA Davydov Journal of Mathematical Sciences 100 (1), 1871-1876, 2000 | 12 | 2000 |

Pentagon equation and matrix bialgebras AA Davydov Communications in Algebra 29 (6), 2627-2650, 2001 | 11 | 2001 |

Autoequivalences of tensor categories attached to quantum groups at roots of A Davydov, P Etingof, D Nikshych arXiv preprint arXiv:1703.06543, 2017 | 9 | 2017 |