192 research outputs found

    Potentially dysfunctional impacts of harmonising accounting standards: the case of intangible assets

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    Intangible Assets as a category within accounting and reporting disclosures have become far more noticeable in recent years, including large amounts associated with brands, mastheads, franchises, and patents. Many of these items are not purchased but internally generated within the organisation, and may account for much of the difference in magnitude between book value and market capitalisation. The International Accounting Standards Committee has recently issued IAS 38 to regulate the reporting of intangible assets, and includes therein the prohibition of those intangible assets, which have been internally generated. This prohibition would cut across recently developed practices in Australia and New Zealand. The problem is compounded by an increasingly close relationship between IASs and the national standards of both Australia and New Zealand, making it very likely that the problem areas within IAS 38 will be transferred to the national standards. This paper examines the areas within IAS 38, which are likely to lead to undesirable consequences, both for internally generated intangible assets but also in terms of the reinforcement of somewhat conservative aspects of financial accounting including historical cost and the inhibiting effects on new developments generally. The possible compounding effects of an expectations gap between the traditional and expected role of financial statements is briefly examined as a possible explanation of the divergence of opinion between different groups involved in the development of accounting standards and reports

    Sampling errors in nested sampling parameter estimation

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    Sampling errors in nested sampling parameter estimation differ from those in Bayesian evidence calculation, but have been little studied in the literature. This paper provides the first explanation of the two main sources of sampling errors in nested sampling parameter estimation, and presents a new diagrammatic representation for the process. We find no current method can accurately measure the parameter estimation errors of a single nested sampling run, and propose a method for doing so using a new algorithm for dividing nested sampling runs. We empirically verify our conclusions and the accuracy of our new method

    Elliptic operators on manifolds with singularities and K-homology

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    It is well known that elliptic operators on a smooth compact manifold are classified by K-homology. We prove that a similar classification is also valid for manifolds with simplest singularities: isolated conical points and fibered boundary. The main ingredients of the proof of these results are: an analog of the Atiyah-Singer difference construction in the noncommutative case and an analog of Poincare isomorphism in K-theory for our singular manifolds. As applications we give a formula in topological terms for the obstruction to Fredholm problems on manifolds with singularities and a formula for K-groups of algebras of pseudodifferential operators.Comment: revised version; 25 pages; section with applications expande

    Extensions and degenerations of spectral triples

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    For a unital C*-algebra A, which is equipped with a spectral triple and an extension T of A by the compacts, we construct a family of spectral triples associated to T and depending on the two positive parameters (s,t). Using Rieffel's notation of quantum Gromov-Hausdorff distance between compact quantum metric spaces it is possible to define a metric on this family of spectral triples, and we show that the distance between a pair of spectral triples varies continuously with respect to the parameters. It turns out that a spectral triple associated to the unitarization of the algebra of compact operators is obtained under the limit - in this metric - for (s,1) -> (0, 1), while the basic spectral triple, associated to A, is obtained from this family under a sort of a dual limiting process for (1, t) -> (1, 0). We show that our constructions will provide families of spectral triples for the unitarized compacts and for the Podles sphere. In the case of the compacts we investigate to which extent our proposed spectral triple satisfies Connes' 7 axioms for noncommutative geometry.Comment: 40 pages. Addedd in ver. 2: Examples for the compacts and the Podle`s sphere plus comments on the relations to matricial quantum metrics. In ver.3 the word "deformations" in the original title has changed to "degenerations" and some illustrative remarks on this aspect are adde

    KO-Homology and Type I String Theory

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    We study the classification of D-branes and Ramond-Ramond fields in Type I string theory by developing a geometric description of KO-homology. We define an analytic version of KO-homology using KK-theory of real C*-algebras, and construct explicitly the isomorphism between geometric and analytic KO-homology. The construction involves recasting the Cl(n)-index theorem and a certain geometric invariant into a homological framework which is used, along with a definition of the real Chern character in KO-homology, to derive cohomological index formulas. We show that this invariant also naturally assigns torsion charges to non-BPS states in Type I string theory, in the construction of classes of D-branes in terms of topological KO-cycles. The formalism naturally captures the coupling of Ramond-Ramond fields to background D-branes which cancel global anomalies in the string theory path integral. We show that this is related to a physical interpretation of bivariant KK-theory in terms of decay processes on spacetime-filling branes. We also provide a construction of the holonomies of Ramond-Ramond fields in Type II string theory in terms of topological K-chains.Comment: 40 pages; v4: Clarifying comments added, more detailed proof of main isomorphism theorem given; Final version to be published in Reviews in Mathematical Physic

    D-branes, KK-theory and duality on noncommutative spaces

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    We present a new categorical classification framework for D-brane charges on noncommutative manifolds using methods of bivariant K-theory. We describe several applications including an explicit formula for D-brane charge in cyclic homology, a refinement of open string T-duality, and a general criterion for cancellation of global worldsheet anomalies

    Fluxes, Brane Charges and Chern Morphisms of Hyperbolic Geometry

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    The purpose of this paper is to provide the reader with a collection of results which can be found in the mathematical literature and to apply them to hyperbolic spaces that may have a role in physical theories. Specifically we apply K-theory methods for the calculation of brane charges and RR-fields on hyperbolic spaces (and orbifolds thereof). It is known that by tensoring K-groups with the rationals, K-theory can be mapped to rational cohomology by means of the Chern character isomorphisms. The Chern character allows one to relate the analytic Dirac index with a topological index, which can be expressed in terms of cohomological characteristic classes. We obtain explicit formulas for Chern character, spectral invariants, and the index of a twisted Dirac operator associated with real hyperbolic spaces. Some notes for a bivariant version of topological K-theory (KK-theory) with its connection to the index of the twisted Dirac operator and twisted cohomology of hyperbolic spaces are given. Finally we concentrate on lower K-groups useful for description of torsion charges.Comment: 26 pages, no figures, LATEX. To appear in the Classical and Quantum Gravit

    Homology and K--Theory Methods for Classes of Branes Wrapping Nontrivial Cycles

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    We apply some methods of homology and K-theory to special classes of branes wrapping homologically nontrivial cycles. We treat the classification of four-geometries in terms of compact stabilizers (by analogy with Thurston's classification of three-geometries) and derive the K-amenability of Lie groups associated with locally symmetric spaces listed in this case. More complicated examples of T-duality and topology change from fluxes are also considered. We analyse D-branes and fluxes in type II string theory on CP3×Σg×T2{\mathbb C}P^3\times \Sigma_g \times {\mathbb T}^2 with torsion H−H-flux and demonstrate in details the conjectured T-duality to RP7×X3{\mathbb R}P^7\times X^3 with no flux. In the simple case of X3=T3X^3 = {\mathbb T}^3, T-dualizing the circles reduces to duality between CP3×T2×T2{\mathbb C}P^3\times {\mathbb T}^2 \times {\mathbb T}^2 with H−H-flux and RP7×T3{\mathbb R}P^7\times {\mathbb T}^3 with no flux.Comment: 27 pages, tex file, no figure
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