Virasoro constraints for moduli spaces of sheaves on surfaces
نویسندگان
چکیده
Abstract We introduce a conjecture on Virasoro constraints for the moduli space of stable sheaves smooth projective surface. These generalise Hilbert scheme surface found by Moreira and Moreira, Oblomkov, Okounkov Pandharipande. verify in many nontrivial cases using combinatorial description equivariant Klyachko.
منابع مشابه
Moduli Spaces of Stable Sheaves on Abelian Surfaces
Let X be a smooth projective surface defined over C and H an ample line bundle on X . If KX is trivial, that is, X is an abelian or a K3 surface, Mukai [Mu4] introduced a quite useful notion now called Mukai lattice (H(X,Z), 〈 , 〉), where H(X,Z) = ⊕iH(X,Z) and 〈x, y〉 = − ∫ X(x y) (see Defn. 1.1). 〈 , 〉 is an even unimodular bilinear form. For a coherent sheaf E on X , we can attach an element o...
متن کاملModuli of Sheaves on Blown-up Surfaces
connection with the so-called S-duality conjecture of Vafa-Witten. In fact, it is already known that there are explicit \universal" relations between invariants which are independent of the surface X. It is due to Yoshioka [9], under the assumption that moduli spaces are nonsingular projective varieties. His proof uses an ingenious trick, unstable sheaves. Although the proof give us the univers...
متن کاملModuli spaces of framed instanton sheaves on pojective spaces
We introduce a generalization of Atiyah-Drinfeld-Hitchin-Manin linear algebraic data and a generalization of Atiyah-Drinfeld-Hitchin-Manin equation, which are subsequently used to construct all framed instanton bundles on complex projective spaces. Using geometric invariant theory, we prove that the moduli spaces of framed instanton sheaves is a quiasiprojective variety. We also provided a link...
متن کاملModuli spaces of framed instanton sheaves on projective spaces
We introduce a generalization of the Atiyah-Drinfeld-Hitchin-Manin linear algebraic data and a generalization of Atiyah-Drinfeld-Hitchin-Manin equation, which are subsequently used to construct all framed instanton bundles on complex projective spaces. Using geometric invariant theory, we prove that the moduli spaces of framed instanton sheaves is a quasiprojective variety. We also provide a li...
متن کاملA Note on the 2-dimensional Moduli Spaces of Stable Sheaves on K3 Surfaces
Matsuki and Wentworth [M-W] constructed the moduli space of w-twisted semi-stable sheaves E with v(E) = v. We denote it by M w H(v). If w = v(OX), then v(OX)-twisted semi-stability is nothing but the usual Gieseker’s semi-stability. Hence we denote M v(OX) H (v) by MH(v). Assume that v is an isotropic Mukai vector. In [A], Abe considered the singularities of MH(v). Replacing MH(v) by M v H(v), ...
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: Forum of Mathematics, Sigma
سال: 2023
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2022.107