منابع مشابه
Chamber Structure and Wallcrossing in the Adhm Theory of Curves I
ADHM invariants are equivariant virtual invariants of moduli spaces of twisted cyclic representations of the ADHM quiver in the abelian category of coherent sheaves of a smooth complex projective curve X. The goal of the present paper is to present a generalization of this construction employing a more general stability condition which depends on a real parameter. This yields a chamber structur...
متن کاملChamber Structure and Wallcrossing in the Adhm Theory of Curves Ii
This is the second part of a project concerning variation of stability and chamber structure for ADHM invariants of curves. Wallcrossing formulas for such invariants are derived using the theory of stack function RingelHall algebras constructed by Joyce and the theory of generalized DonaldsonThomas invariants of Joyce and Song. It is shown that these formulas imply the BPS rationality conjectur...
متن کاملThe ADHM Construction and Anselmi’s Topological Anomalies
We examine the anomalies arising in instanton calculus as detailed by Damiano Anslemi in 1994. Whereas Anselmi uses BRST theory, we use the ADHM construction to arrive at the same conclusions from a differentialgeometric way. We observe that Anselmi’s TQFT is similar to Donaldson Theory applied to charge 1 instantons on the 4-sphere,although the latter is really only used for 4-manifolds with b...
متن کاملCurves and Spectral Set Theory
Let us assume we are given a stochastically symmetric, reducible, freely anti-characteristic homomorphism ν. Recently, there has been much interest in the derivation of essentially stable isomorphisms. We show that ρz,k is super-uncountable. It has long been known that √ 2Σ < ∑ J ′′ ( 0, ω̂ ∪ √ 2 ) , r′ ≤ 0 sin−1(−Ξ) x(−1 √ 2,...,U∨‖η‖) , e = 2 [26]. In [22], the main result was the construct...
متن کاملADHM Construction of Instantons on the Torus
We apply the ADHM instanton construction to SU(2) gauge theory on Tn × R 4−n for n = 1, 2, 3, 4. To do this we regard instantons on Tn × R 4−n as periodic (modulo gauge transformations) instantons on R . Since the R 4 topological charge of such instantons is infinite the ADHM algebra takes place on an infinite dimensional linear space. The ADHM matrix M is related to a Weyl operator (with a sel...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1988
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01242139