Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.
Topology of symplectomorphism groups of rational ruled sur- faces
7 Pith papers cite this work. Polarity classification is still indexing.
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Maximizing a quadratic objective over unitriangular bases with non-negative 1+s action recovers the Kazhdan-Lusztig basis for all partitions of n≤7 and is conjectured to do so more generally, while minimization recovers Young's seminormal basis.
Finite approximate subrings in general rings admit a structure theorem where nilpotent quotients obstruct additive and multiplicative growth, yielding a general sum-product framework and a ring-theoretic analogue of Gromov's polynomial growth theorem.
The coordinate ring of the universal centralizer equals the result of applying Demazure operators to the coordinate ring of X precisely when the W-fixed points of the Weil restriction of X is an integral scheme.
Relates the category of quantum Harish-Chandra bimodules at odd roots of unity to affine Soergel bimodules and non-commutative Springer resolution.
Models Rozansky-Witten theory of T*X via sheaves of categories from Perf(X×A¹), constructing hybrid Lagrangian objects whose Homs are matrix factorizations.
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.
citing papers explorer
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The nearby Lagrangian conjecture for pinwheels
Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.
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Kazhdan-Lusztig Basis and Optimization
Maximizing a quadratic objective over unitriangular bases with non-negative 1+s action recovers the Kazhdan-Lusztig basis for all partitions of n≤7 and is conjectured to do so more generally, while minimization recovers Young's seminormal basis.
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On the structure of approximate rings
Finite approximate subrings in general rings admit a structure theorem where nilpotent quotients obstruct additive and multiplicative growth, yielding a general sum-product framework and a ring-theoretic analogue of Gromov's polynomial growth theorem.
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The coordinate ring of the universal centralizer via Demazure operators
The coordinate ring of the universal centralizer equals the result of applying Demazure operators to the coordinate ring of X precisely when the W-fixed points of the Weil restriction of X is an integral scheme.
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Quantum Harish-Chandra bimodules at roots of unity and affine Hecke category
Relates the category of quantum Harish-Chandra bimodules at odd roots of unity to affine Soergel bimodules and non-commutative Springer resolution.
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Modeling Rozansky-Witten Theory with Sheaves of Categories
Models Rozansky-Witten theory of T*X via sheaves of categories from Perf(X×A¹), constructing hybrid Lagrangian objects whose Homs are matrix factorizations.
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Higher $q$-Continued Fractions and Dimers on Band Graphs
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.