On the Obstructions to non-Cliffordian Pin Structures

We derive the topological obstructions to the existence of non-Cliffordian pin structures on four-dimensional spacetimes. We apply these obstructions to the study of non-Cliffordian pin-Lorentz cobordism. We note that our method of derivation applies equally well in any dimension and in any signature, and we present a general format for calculating obstructions in these situations. Finally, we interpret the breakdown of pin structure and discuss the relevance of this to aspects of physics.Comment: 31 pages, latex, published in Comm. Math. Phys. 164, No. 1, pages 65-87 (1994

N=2 Topological Yang-Mills Theory on Compact K\"{a}hler Surfaces

We study a topological Yang-Mills theory with $N=2$ fermionic symmetry. Our formalism is a field theoretical interpretation of the Donaldson polynomial invariants on compact K\"{a}hler surfaces. We also study an analogous theory on compact oriented Riemann surfaces and briefly discuss a possible application of the Witten's non-Abelian localization formula to the problems in the case of compact K\"{a}hler surfaces.Comment: ESENAT-93-01 & YUMS-93-10, 34pages: [Final Version] to appear in Comm. Math. Phy

The Spectral Theory of Multiresolution Operators and Applications

this article we explore the notion of the multiresolution operator, its spectral theory, and applications. This operator (also called the transition operator) has appeared as a fundamental tool in several aspects of wavelet theory, such as the Lawton-Cohen theorem on wavelet orthonormal bases [2, 18, 19], and the work of Eirola [8] and others [1, 3, 4, 5, 23] on the Sobolev smoothness of wavelet scaling functions. After introducing the multiresolution operator and observing its connection with the convolution and downsampling operations of multirate signal processing, we present a review of the work of Lawton and that of Eirola. Throughout the paper we work in the setting of rank m wavelet systems (m is the integer dilation factor, not necessarily 2). This involves some generalization of previous work, and yields initial results on the differentiability of wavelet scaling functions for rank m ? 2. In particular, we find that the minimal support rank 3 scaling functions wit

Mulheres em situa??o de viol?ncia : um olhar transdisciplinar

Made available in DSpace on 2015-04-14T14:48:03Z (GMT). No. of bitstreams: 1 425374.pdf: 233619 bytes, checksum: d147c81c7dab4d4a1e672810e971efe7 (MD5) Previous issue date: 2009-12-18A presente disserta??o, vinculada ? linha de pesquisa em Criminologia e Controle Social do Programa de P?s-Gradua??o em Ci?ncias Criminais da PUCRS, pretende investigar o funcionamento do Juizado de Viol?ncia Dom?stica e Familiar contra a Mulher do munic?pio de Porto Alegre, ap?s a implementa??o da Lei 11.340/2006. Por meio de um recorte de g?nero, abrangendo os movimentos feministas e a criminologia cr?tica, o objetivo geral desse estudo ? examinar como a referida legisla??o vem sendo aplicada e operacionalizada pelo juizado. Com ?nfase na ?rea criminal de sua compet?ncia, procura identificar os elementos que configuram as rela??es que chegam ao conhecimento do Poder Judici?rio, e os impactos produzidos na vida da clientela majorit?ria. Busca-se focalizar um aspecto diferenciado, ao problematizar a din?mica relacional dos atores envolvidos, considerando cada um deles como protagonistas de suas hist?rias. Ademais, questiona o sistema de justi?a criminal, como reprodutor dos pap?is hierarquizados de g?nero e meio (in)adequado e (in)eficaz, tanto para cumprir suas promessas de seguran?a jur?dica e controle da criminalidade, quanto para chegar aos resultados esperados pelas mulheres. Para que os objetivos fossem alcan?ados, confrontou-se a literatura investigada com a pesquisa de campo. As conclus?es fundamentaram-se em dados estat?sticos e em relatos das partes envolvidas. Trata-se de um estudo transdisciplinar, pois se entende que a tem?tica da viol?ncia contra a mulher deve ser analisada por meio de uma vis?o globalizada, ou seja, pela converg?ncia de v?rias perspectivas, sob a ?tica de diversos olhares