Fetching the paper…
Reading the bibliography…
We introduce quantum versions of Manin pairs and Manin triples and define quantum moment maps in this context.
“On linear representations of affine groups. I”
Manfred. Wischnewsky · 1901
Earlier work this paper cites.
“Categories for the working mathematician” Graduate Texts in Mathematics, Vol. 5
Saunders MacLane · 1971
Earlier work this paper cites.
Springer-Verlag, Berlin-New York, 1972, pp. iv+418
“Théorie des topos et cohomologie étale des schémas. Tome 2” Séminaire de Géométrie Algébrique du Bois-Marie 1963–1964 (SGA 4), Dirigé par M. Artin, A. Grothendieck et J. L. Verdier. Avec la collaboration de N. Bourbaki, P. Deligne et B. Saint-Donat, Lecture Notes in Mathematics, Vol. 270 · 1972
Earlier work this paper cites.
“Tensor products of finite- and infinite-dimensional representations of semisimple Lie algebras”
J.. Bernstein and S.. Gelfand · 1980
Earlier work this paper cites.
“Poisson Lie groups, dressing transformations, and Bruhat decompositions”
Jiang-Hua Lu and Alan Weinstein · 1990
Earlier work this paper cites.
“Momentum mappings and reduction of Poisson actions”
Jiang-Hua Lu · 1991
Earlier work this paper cites.
“Algebraic structures related to reflection equations”
P.. Kulish and E.. Sklyanin · 1992
Earlier work this paper cites.
“Moment maps at the quantum level”
Jiang-Hua Lu · 1993
Earlier work this paper cites.
“Braided groups”
Shahn Majid · 1993
Earlier work this paper cites.
“Locally presentable and accessible categories” 189
Jiřı́ Adámek and Jiřı́ Rosický · 1994
Earlier work this paper cites.
“Introduction to mechanics and symmetry” A basic exposition of classical mechanical systems 17
Jerrold. Marsden and Tudor. Ratiu · 1994
Earlier work this paper cites.
“A guide to quantum groups” Corrected reprint of the 1994 original
Vyjayanthi Chari and Andrew Pressley · 1995
Earlier work this paper cites.
“Quantum groups and their representations”, Texts and Monographs in Physics
Anatoli Klimyk and Konrad Schmüdgen · 1997
Earlier work this paper cites.
“Lie group valued moment maps”
Anton Alekseev, Anton Malkin and Eckhard Meinrenken · 1998
Earlier work this paper cites.
“Manin pairs and moment maps”
Anton Alekseev and Yvette Kosmann-Schwarzbach · 2000
Earlier work this paper cites.
“Quasi-Poisson manifolds”
A. Alekseev, Y. Kosmann-Schwarzbach and E. Meinrenken · 2002
Earlier work this paper cites.
“Lectures on quantum groups”, Lectures in Mathematical Physics
Pavel Etingof and Olivier Schiffmann · 2002
Earlier work this paper cites.
“On tensor categories attached to cells in affine Weyl groups”
Roman Bezrukavnikov · 2004
Earlier work this paper cites.
“Hopf monads”
Alain Bruguières and Alexis Virelizier · 2007
Cited alongside, same era.
“Calogero-Moser systems and representation theory”, Zurich Lectures in Advanced Mathematics
Pavel Etingof · 2007
Cited alongside, same era.
“Homotopy limits for 2-categories”
Nicola Gambino · 2008
Cited alongside, same era.
“Dirac geometry, quasi-Poisson actions and D / G D/G -valued moment maps”
Henrique Bursztyn and Marius Crainic · 2009
Cited alongside, same era.
“Reflection equation algebras, coideal subalgebras, and their centres”
Stefan Kolb and Jasper. Stokman · 2009
Cited alongside, same era.
“On braided fusion categories. I”
Vladimir Drinfeld, Shlomo Gelaki, Dmitri Nikshych and Victor Ostrik · 2010
Cited alongside, same era.
“A generalization of Watts’s theorem: right exact functors on module categories”
A. Nyman and S.. Smith · 2015
Later among the works it cites.
“Quasi-Hamiltonian reduction via classical Chern-Simons theory”
Pavel Safronov · 2015
Later among the works it cites.
“Left and right centers in quasi-Poisson geometry of moduli spaces”
Pavol Ševera · 2015
Later among the works it cites.
“(Op)lax natural transformations, twisted quantum field theories, and “even higher” Morita categories”
Theo Johnson-Freyd and Claudia Scheimbauer · 2016
Later among the works it cites.
“Perversely categorified Lagrangian correspondences”
Lino Amorim and Oren Ben-Bassat · 2017
Later among the works it cites.
“Shifted Poisson Structures and Deformation Quantization”
Damien Calaque, Tony Pantev, Bertrand Toën, Michel Vaquié and Gabriele Vezzosi · 2017
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“Fusion categories and homotopy theory” With an appendix by Ehud Meir
Pavel Etingof, Dmitri Nikshych and Victor Ostrik · 2010
Cited alongside, same era.
“Introduction to quantum groups” Reprint of the 1994 edition, Modern Birkhäuser Classics
George Lusztig · 2010
Cited alongside, same era.
“Double affine Hecke algebras at roots of unity”
M. Varagnolo and E. Vasserot · 2010
Cited alongside, same era.
“Quasi-Hamiltonian groupoids and multiplicative Manin pairs”
David Li-Bland and Pavol Ševera · 2011
Cited alongside, same era.
“Character D D -modules via Drinfeld center of Harish-Chandra bimodules”
Roman Bezrukavnikov, Michael Finkelberg and Victor Ostrik · 2012
Cited alongside, same era.
“The Witt group of non-degenerate braided fusion categories”
Alexei Davydov, Michael Müger, Dmitri Nikshych and Victor Ostrik · 2013
Cited alongside, same era.
Later among the works it cites.
“The higher Morita category of 𝔼 n \mathbb{E}_{n} -algebras”
Rune Haugseng · 2017
Later among the works it cites.
“Higher Algebra”, 2017
Jacob Lurie · 2017
Later among the works it cites.
“Integrating quantum groups over surfaces”
David Ben-Zvi, Adrien Brochier and David Jordan · 2018
Later among the works it cites.
“Quantum character varieties and braided module categories”
David Ben-Zvi, Adrien Brochier and David Jordan · 2018
Later among the works it cites.
“The Harish-Chandra isomorphism for quantum G L 2 GL_{2} ”
Martina Balagovic and David Jordan · 2018
Later among the works it cites.
“A conjectural extension of the Kazhdan-Lusztig equivalence”, 2018
Dennis Gaitsgory · 2018
Later among the works it cites.
“Pseudo-Kan extensions and descent theory”
Fernando Lucatelli · 2018
Later among the works it cites.
“The balanced tensor product of module categories”
Christopher. Douglas, Christopher Schommer-Pries and Noah Snyder · 2019
Closest in time.
“The relative monoidal center and tensor products of monoidal categories”
Robert Laugwitz · 2020
Closest in time.
“On dualizability of braided tensor categories”
Adrien Brochier, David Jordan and Noah Snyder · 2021
Closest in time.
“Poisson-Lie structures as shifted Poisson structures”
Pavel Safronov · 2021
Closest in time.