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Academic Journal

Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations.

Authors : Liu, Si-Qi (AUTHOR); Wang, Zhe (AUTHOR); Zhang, Youjin (AUTHOR)

Subjects: FROBENIUS manifolds; COHOMOLOGY theory; SEMISIMPLE Lie groups

Source: Communications in Mathematical Physics. Jul2023, Vol. 401 Issue 1, p985-1031. 47p.

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Academic Journal

Effective Sato--Tate conjecture for abelian varieties and applications.

Authors : Bucur, Alina; Fité, Francesc; Kedlaya, Kiran S.

Subjects: ABELIAN groups; RIEMANN hypothesis; INVARIANTS (Mathematics)

Source: Journal of the European Mathematical Society (EMS Publishing); 2024, Vol. 26 Issue 5, p1713-1746, 34p

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Academic Journal

Semisimple Flat F-Manifolds in Higher Genus.

Authors : Arsie, Alessandro (AUTHOR); Buryak, Alexandr (AUTHOR); Lorenzoni, Paolo (AUTHOR)

Subjects: FROBENIUS manifolds; VECTOR algebra; ASSOCIATIVE algebras

Source: Communications in Mathematical Physics. Jan2023, Vol. 397 Issue 1, p141-197. 57p.

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Academic Journal

GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back.

Authors : Yang, Di

Subjects: FROBENIUS manifolds; GROMOV-Witten invariants; PARTITION functions

Source: Acta Mathematica Sinica; Jan2024, Vol. 40 Issue 1, p383-405, 23p

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Academic Journal

On the Quantum Deformations of Associative Sato Grassmannian Algebras and the Related Matrix Problems.

Authors : Balinsky, Alexander A.; Bovdi, Victor A.; Prykarpatski, Anatolij K.

Subjects: MATRICES (Mathematics); FROBENIUS manifolds; TOPOLOGICAL fields

Source: Symmetry (20738994); Jan2024, Vol. 16 Issue 1, p54, 18p

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Academic Journal

Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro Symmetries.

Authors : Liu, Si-Qi (AUTHOR); Wang, Zhe (AUTHOR); Zhang, Youjin (AUTHOR)

Subjects: FROBENIUS manifolds; SYMMETRY

Source: Communications in Mathematical Physics. Oct2022, Vol. 395 Issue 1, p459-519. 61p.

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Academic Journal

On a Connection Formula of a Higher Rank Analog of Painlevé VI.

Authors : Xu, Xiaomeng

Subjects: FROBENIUS manifolds

Source: IMRN: International Mathematics Research Notices; Oct2023, Vol. 2023 Issue 20, p17729-17748, 20p

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Academic Journal

Stokes Manifolds and Cluster Algebras.

Authors : Bertola, M. (AUTHOR); Tarricone, S. (AUTHOR)

Subjects: FROBENIUS manifolds; POISSON brackets; QUADRATIC forms

Source: Communications in Mathematical Physics. Apr2022, Vol. 391 Issue 1, p1413-1457. 45p.

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Academic Journal

In memoriam: Boris Dubrovin.

Authors : Matveev, Vladimir B.¹ (AUTHOR) ; Semenov-Tian-Shansky, Michel¹ (AUTHOR)

Subjects: *CONFORMAL field theory; *FROBENIUS manifolds; *SUPERSTRING theories

Source: Letters in Mathematical Physics. Jun2019, Vol. 109 Issue 6, p1269-1270. 2p.

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Academic Journal

Grothendieck's dessins d'enfants in a web of dualities. III.

Authors : Yang, Di; Zhou, Jian

Subjects: PARTITION functions; FROBENIUS manifolds; CORRELATORSCHEKHOV, Anton Pavlovich, 1860-1904

Source: Journal of Physics A: Mathematical & Theoretical; 2/3/2023, Vol. 56 Issue 5, p1-34, 34p

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