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Articles by Mikhail Khovanov

Two-dimensional topological quantum field theories of rank two over Dedekind domains
28 February 2025 by Fabian Espinoza and others
Mathematical Physics, Category Theory
Entropy, cocycles, and their diagrammatics
9 October 2024 by Mee Seong Im and Mikhail Khovanov
K-Theory and Homology, Information Theory
Foams with flat connections and algebraic K-theory
23 May 2024 by David Gepner and others
K-Theory and Homology, Algebraic Topology
Foam cobordism and the Sah-Arnoux-Fathi invariant
9 March 2024 by Mee Seong Im and Mikhail Khovanov
Geometric Topology, Dynamical Systems
Monoidal categories, representation gap and cryptography
12 February 2024 by Mikhail Khovanov and others
Representation Theory, Cryptography and Security
On the universal pairing for 2-complexes
10 February 2024 by Mikhail Khovanov and others
Geometric Topology, Quantum Algebra
Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words
25 December 2023 by Paul Gustafson and others
Category Theory, Formal Languages and Automata Theory
From finite state automata to tangle cobordisms: a TQFT journey from one to four dimensions
17 September 2023 by Mee Seong Im and Mikhail Khovanov
Quantum Algebra, Formal Languages and Automata Theory
A topological theory of unoriented SL(4) foams
2 July 2023 by Mikhail Khovanov and others
Geometric Topology, Combinatorics
One-dimensional topological theories with defects: the linear case
4 April 2023 by Mee Seong Im and Mikhail Khovanov
Quantum Algebra, Mathematical Physics
Universal construction in monoidal and non-monoidal settings, the Brauer envelope, and pseudocharacters
5 March 2023 by Mee Seong Im and others
Quantum Algebra, Mathematical Physics
Automata and one-dimensional TQFTs with defects
27 February 2023 by Paul Gustafson and others
Quantum Algebra, Formal Languages and Automata Theory
Odd two-variable Soergel bimodules and Rouquier complexes
20 July 2022 by Mikhail Khovanov and others
Quantum Algebra, Representation Theory
Categorical lifting of the Jones polynomial: a survey
21 March 2022 by Mikhail Khovanov and Robert Lipshitz
Geometric Topology, Quantum Algebra
Topological theories and automata
27 February 2022 by Mee Seong Im and Mikhail Khovanov
Quantum Algebra, Formal Languages and Automata Theory
p-DG cyclotomic nilHecke algebras
1 December 2021 by Mikhail Khovanov and others
Representation Theory, K-Theory and Homology
Planar diagrammatics of self-adjoint functors and recognizable tree series
1 November 2021 by Mikhail Khovanov and Robert Laugwitz
Quantum Algebra, Representation Theory
Foams, iterated wreath products, field extensions and Sylvester sums
16 July 2021 by Mee Seong Im and Mikhail Khovanov
Quantum Algebra, Representation Theory
Anchored foams and annular homology
3 May 2021 by Rostislav Akhmechet and Mikhail Khovanov
Geometric Topology, Quantum Algebra
Two-dimensional topological theories, rational functions and their tensor envelopes
30 November 2020 by Mikhail Khovanov and others
Quantum Algebra, Representation Theory
Conical SL(3) foams
22 November 2020 by Mikhail Khovanov and Louis-Hadrien Robert
Quantum Algebra, Combinatorics
Decorated one-dimensional cobordisms and tensor envelopes of noncommutative recognizable power series
12 October 2020 by Mikhail Khovanov
Quantum Algebra, Representation Theory
Evaluating thin flat surfaces
2 September 2020 by Mikhail Khovanov and others
Quantum Algebra, Representation Theory
Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category
22 July 2020 by Mikhail Khovanov and Radmila Sazdanović
Quantum Algebra, Representation Theory
Universal construction of topological theories in two dimensions
7 July 2020 by Mikhail Khovanov
Quantum Algebra, Geometric Topology
Link homology and Frobenius extensions II
16 May 2020 by Mikhail Khovanov and Louis-Hadrien Robert
Quantum Algebra, Geometric Topology
A deformation of Robert-Wagner foam evaluation and link homology
29 April 2020 by Mikhail Khovanov and Nitu Kitchloo
Quantum Algebra, Algebraic Topology
A faithful braid group action on the stable category of tricomplexes
30 March 2020 by Mikhail Khovanov and You Qi
Representation Theory, Algebraic Topology
Diagrammatic categorification of the Chebyshev polynomials of the second kind
25 March 2020 by Mikhail Khovanov and Radmila Sazdanović
Representation Theory, Quantum Algebra
Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
15 January 2020 by Mikhail Khovanov and others
Quantum Algebra
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