منابع مشابه
On Atiyah-Singer and Atiyah-Bott for finite abstract simplicial complexes
A linear or multi-linear valuation on a finite abstract simplicial complex can be expressed as an analytic index dim(ker(D)) −dim(ker(D)) of a differential complex D : E → F . In the discrete, a complex D can be called elliptic if a McKean-Singer spectral symmetry applies as this implies str(e 2 ) is t-independent. In that case, the analytic index of D is χ(G,D) = ∑ k (−1)kbk(D), where bk is th...
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The purpose of this note is to announce our proof of the AtiyahJones conjecture concerning the topology of the moduli spaces of based su(2)instantons over s4 . Full details and proofs appear in our paper [BHMM1].
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We present newM2 and M5 brane solutions in M-theory based on transverse AtiyahHitchin space and other self-dual geometries. One novel feature of these solutions is that they have bolt-like fixed points yet still preserve 1/4 of the supersymmetry. All the solutions can be reduced down to ten dimensional intersecting brane configurations. EMail: [email protected] EMail: [email protected]...
متن کاملAtiyah – Jones conjecture for blown - up surfaces
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Recently, L.Rozansky and E.Witten [RW] associated to any hyper-Kähler manifold X an invariant of topological 3-manifolds. In fact, their construction gives a system of weights c Γ (X) associated to 3-valent graphs Γ and the corresponding invariant of a 3-manifold Y is obtained as the sum c Γ (X)I Γ (Y) where I Γ (Y) is the standard integral of the product of linking forms. So the new ingredient...
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ژورنال
عنوان ژورنال: Nature
سال: 1990
ISSN: 0028-0836,1476-4687
DOI: 10.1038/344579b0