Verlinde formulae on complex surfaces: <i>K</i>-theoretic invariants
نویسندگان
چکیده
Abstract We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on surface with holomorphic 2-form. The specializes to sheaves. Our interpolates between K -theoretic Donaldson invariants studied by Göttsche and Nakajima-Yoshioka Vafa-Witten introduced Thomas also Kool. verify our conjectures in many examples (for example, K3 surfaces).
منابع مشابه
Gluing Formulae for Donaldson Invariants for Connected Sums along Surfaces
Following our work in [18], we prove a gluing formula for the Donaldson invariants of the connected sum of two four-manifolds along surfaces of the same genus g, self-intersection zero and representing odd homology classes, solving a conjecture of Morgan and Szabó [14].
متن کاملFormulae for order one invariants of immersions of surfaces
The universal order 1 invariant fU of immersions of a closed orientable surface into R3, whose existence has been established in [T. Nowik, Order one invariants of immersions of surfaces into 3-space, Math. Ann. 328 (2004) 261–283], is the direct sum
متن کاملModular transformations and Verlinde formulae for logarithmic (p+,p−)-models
The (p+, p−) singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge 1− 6(p+− p−) /p+p− and a single Virasoro primary field of conformal weight (2p+−1)(2p−−1). Here, the modular properties of the characters of the uncountably many simple modules of each singlet algebra are investigated and the results used as the input to a continuous analog...
متن کاملon the integral invariants of kinematically generated ruled surfaces
in this paper, the dual area vector of a closed dual spherical curve is kinematically generatedand the dual steineer vector of a motion are extensively studied by the methods of differential geometry.jacobi’s theorems, known for real curves, are investigated for closed dual curves. the closed trajectorysurfaces generated by an oriented line are fixed in a moving rigid body in ir3 , in which the...
متن کاملOrder-theoretic Invariants in Set-theoretic Topology
We present several results related to van Douwen’s Problem, which asks whether there is homogeneous compactum with cellularity exceeding c, the cardinality of the reals. For example, just as all known homogeneous compacta have cellularity at most c, they satisfy similar upper bounds in terms of Peregudov’s Noetherian type and related cardinal functions defined by order-theoretic base properties...
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: 2021
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2020.50