منابع مشابه
Refined Seiberg-witten Invariants
In the past two decades, gauge theoretic methods became indispensable when considering manifolds in dimension four. Initially, research centred around the moduli spaces of Yang-Mills instantons. Simon Donaldson had introduced the instanton equations into the field. Using cohomological data of the corresponding moduli spaces, he defined invariants which could effectively distinguish differentiab...
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We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension-two symplectic submanifold. These invariants are the key ingredients in the symplectic sum formula of [IP4]. The main step is the construction of a compact space of ‘V -stable’ maps. Simple special cases include the Hurwitz numbers for algebraic curves and the enumerative invariants of Caporaso and Ha...
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We study the Seiberg Witten equations and its applications in uniformization problems. First, we show that KK ahler surfaces covered by product of disks can be characterized using negative Seiberg Witten invariant. Second, we shall use Seiberg Witten equations to construct projectively at U(2; 1) connections on Einstein manifolds and uniformize those with optimal Chern numbers. Third, we study ...
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Let F be a differentiable manifold endowed with an almost Kähler structure (J, ω), α a J-holomorphic action of a compact Lie groupˆK on F , and K a closed normal subgroup ofˆK which leaves ω invariant. The purpose of this article is to introduce gauge theoretical invariants for such triples (F, α, K). The invariants are associated with moduli spaces of solutions of a certain vortex type equatio...
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We define tropical Psi-classes on M 0,n (R 2 , d) and consider intersection products of Psi-classes and pull-backs of evaluations on this space. We show a certain WDVV equation which is sufficient to prove that tropical numbers of curves satisfying certain Psi-and evaluation conditions are equal to the corresponding classical numbers. We present an algorithm that generalizes Mikhalkin's lattice...
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ژورنال
عنوان ژورنال: Topology
سال: 1994
ISSN: 0040-9383
DOI: 10.1016/0040-9383(94)90025-6