4,270 research outputs found

    Hennings TQFTs for Cobordisms Decorated With Cohomology Classes

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    Starting from an abelian group GG and a factorizable ribbon Hopf GG-bialgebra HH, we construct a TQFT JHJ_H for connected framed cobordisms between connected surfaces with connected boundary decorated with cohomology classes with coefficients in GG. When restricted to the subcategory of cobordisms with trivial decorations, our functor recovers a special case of Kerler-Lyubashenko TQFTs, namely those associated with factorizable ribbon Hopf algebras. Our result is inspired by the work of Blanchet-Costantino-Geer-Patureau, who constructed non-semisimple TQFTs for admissible decorated cobordisms using the unrolled quantum group of sl2\mathfrak{sl}_2, and by that of Geer-Ha-Patureau, who reformulated the underlying invariants of admissible decorated 33-manifolds using ribbon Hopf GG-coalgebras. Our work represents the first step towards a homological model for non-semisimple TQFTs decorated with cohomology classes that appears in a conjecture by the first two authors.Comment: 31 page

    Analyzing Returns in the European Banking sector in the context of the Default of Credit Suisse

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    Trabalho de projeto de mestrado, Matemática Aplicada à Economia e Gestão , 2024The present study tests the predictive capabilities of the Capital Asset Pricing Model and the Fama French Three Factor Model, two of the most popular asset pricing theories. The CAPM is a single factor model that dictates the relationship between risk and return, the FF3FM is a three factor model with a component of market risk but also has two other factors, SMB (small minus big) and HML (high minus low), that together try to explain the returns of a certain security or portfolio. The forecasting power of both models will be tested in five stocks of major European Investment Banks, one of which is Credit Suisse that defaulted in March of 2023. In order to test the models, weekly historical returns from June 2017 to June 2022 will be used to run linear regressions which will allow for the estimation of the necessary coefficients to be applied in the empirical models and therefore test their prediction capacity. Results suggest that, although some approximation between the real returns on the stocks and the forecasted returns, the reality is that these models were not able to accurately predict the market movements of the stocks neither the default of Credit Suisse. In the CAPM, all the beta values were deemed necessary to explain a portion of the model, even though without the best accuracy. The perhaps more interesting result came with the FF3FM outputs. For all stocks, while the beta coefficient that was related to the market risk was considered statistically significant, the same can not be said for the other two beta coefficients related to SMB and HML. Not one coefficient of the SMB factor was proven to be statistically significant and regarding the factor HML, only BNP Paribas and Santander had significant beta coefficients for it. The difference between the forecasted stock returns values with the CAPM and the FF3FM was very little, almost insignificant. The market risk beta coefficients are very close between the two models, the R 2 value is slightly higher in the FF3FM and the impact of the two statistically significant betas related to the HML factor is residual

    Intratumoral chemotherapy in an integumentary squamous cell carcinoma in a cockatiel (Nymphicus hollandicus)

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    An eight-year-old, female cockatiel (Nymphicus hollandicus) was presented with anorexia, lethargy, a mass at the lower side of the wing and discoloration of the feathers. Physical examination showed an ulcerated nodular integumentary lesion of approximately 4 cm(3) ventromedial on the wing at the side of the propatagium and the humerus. Lateral and ventrodorsal radiographs revealed only hepatomegaly. After a stabilization period, surgical excision of the tumor was performed. Based on histopathological evaluation and bacterial culture of the surgically removed tissue, the lesion was typed as an integumentary squamous cell carcinoma with secondary bacterial infection (Corynebacterium sp). Four weeks postoperative, the tumor had recurred. Chemotherapeutic treatment was started with intratumoral carboplatin (1.5 mg/cm(3)) once a week. Because of further tumor growth after the second administration of carboplatin, resection of the mass was performed before the next infiltration. However, the bird died during anesthesia. Despite increase in tumor size, histopathological and immunohistochemical evaluations showed degeneration of the tumor with intercellular edema and vacuolization of the tumor cells, presumably resulting from carboplatin administration. More research is needed to investigate the efficacy and safety of the intratumoral administration of carboplatin as a treatment option in birds with integumentary squamous cell carcinoma

    Research note : lyophilization of hyperimmune egg yolk : effect on antibody titer and protection of broilers against Campylobacter colonization

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    Oral administration of antibodies is a promising strategy against various infectious diseases. Previously, it was demonstrated that passive immunization by providing hyperimmune egg yolk through the feed reduces Campylobacter jejuni colonization in broilers. Campylobacteriosis is the most commonly reported bacterial foodborne zoonosis worldwide, and poultry products are the number one origin of these bacteria for human infection. To date, no effective control measures exist to limit Campylobacter colonization in the chicken's intestinal tract. Here, the effect of lyophilization of hyperimmune egg yolk on protection of broilers against C. jejuni was investigated. During an in vivo trial, broiler chickens were prophylactically given feed with lyophilized hyperimmune or non-immunized egg yolk powder starting from day 1 after hatch. At day 11, broilers were inoculated with C. jejuni according to a seeder model. Five days later, all broilers were euthanized and cecal content was examined for C. jejuni colonization. No decrease in C. jejuni colonization was found. The freeze-drying resulted in a 16-fold decrease of the antibody titer in the yolk powder compared to the fresh yolks, presumably caused by structural changes in the antibodies. In conclusion, applying freeze-dried hyperimmune egg yolk failed to protect broilers against C. jejuni colonization, possibly because lyophilization affected the antibodies' functionality
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