Symplectic duality and implosions
نویسندگان
چکیده
We discuss symplectic and hyperkahler implosion present candidates for the duals of universal various groups.
منابع مشابه
symplectic hodge theory, harmonicity, and thom duality
we study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic thom forms and distributional thom currents, dual to different types of submanifolds. we show that the harmonic thom form associated to a symplectic submanifold is nowhere vanishing. we also construct symplectic smoothing operators which preserve the harmonicity of distri...
متن کاملSymplectic Duality of Symmetric Spaces
Let (M, 0) ⊂ C be a complex n -dimensional Hermitian symmetric space endowed with the hyperbolic form ωB . Denote by (M ∗, ω∗ B ) the compact dual of (M,ωB) , where ω ∗ B is the Fubini–Study form on M∗ . Our first result is Theorem 1.1 where, with the aid of the theory of Jordan triple systems, we construct an explicit diffeomorphism ΨM : M → R = C ⊂ M∗ satisfying Ψ∗ M (ω0) = ωB and Ψ ∗ M (ω∗ B...
متن کاملFiniteness and duality on complex symplectic manifolds
For a complex compact manifold X, denote by T the category Dcoh(OX). • This category is a C-triangulated category, • this category is Ext-finite, that is, ⊕
متن کاملGeometric category O and symplectic duality
The purpose of this proposal is to study algebraic symplectic varieties, which arise naturally in algebraic geometry (Hilbert schemes), representation theory (quiver varieties, Springer theory), combinatorics and polyhedral geometry (hypertoric varieties), and string theory (moduli spaces of gauge theories and of Higgs bundles). Our primary interest will be a certain category of sheaves on thes...
متن کاملGeometric category O and symplectic duality
The purpose of this proposal is to study algebraic symplectic varieties, which arise naturally in algebraic geometry (Hilbert schemes), representation theory (quiver varieties, Springer theory), combinatorics and polyhedral geometry (hypertoric varieties), and string theory (moduli spaces of gauge theories and of Higgs bundles). Our primary interest will be a certain category of sheaves on thes...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 2021
ISSN: ['1095-0753', '1095-0761']
DOI: https://doi.org/10.4310/atmp.2021.v25.n6.a1