Coherent state transforms and vector bundles on elliptic curves

AbstractWe extend the coherent state transform (CST) of Hall to the context of the moduli spaces of semistable holomorphic vector bundles with fixed determinant over elliptic curves. We show that by applying the CST to appropriate distributions, we obtain the space of level k, rank n and genus one non-abelian theta functions with the unitarity of the CST transform being preserved. Furthermore, the shift in the level k→k+n appears in a natural way in this finite-dimensional framework

The Topology of Parabolic Character Varieties of Free Groups

Let G be a complex affine algebraic reductive group, and let K be a maximal compact subgroup of G. Fix elements h_1,...,h_m in K. For n greater than or equal to 0, let X (respectively, Y) be the space of equivalence classes of representations of the free group of m+n generators in G (respectively, K) such that for each i between 1 and m, the image of the i-th free generator is conjugate to h_i. These spaces are parabolic analogues of character varieties of free groups. We prove that Y is a strong deformation retraction of X. In particular, X and Y are homotopy equivalent. We also describe explicit examples relating X to relative character varieties.Comment: 16 pages, version 2 includes minor revisions and some modified proofs, accepted for publication in Geometriae Dedicat

A remark on "Connections and Higgs fields on a principal bundle"

We show that a unipotent vector bundle on a non-Kaehler compact complex manifold does not admit a flat holomorphic connection in general. We also construct examples of topologically trivial stable vector bundle on compact Gauduchon manifold that does not admit any unitary flat connection.Comment: Annals of Global Analysis and Geometry (to appear

Annual Behavior of Milk Production Bio economic Indicators in Dairies of Ruta InvasoraCattle Raising Enterprise, Ciego de Ávila. II. Case Study Dairy.

Previous research of ten dairies at Ruta Invasora Cattle Raising Enterprise, in Ciego de Ávila, about the annual behavior of bioeconomic indicators of milk production singled out Dairy No. 1 as the most outstanding. It was then used as a comparison model in a case study, with the remaining nine units, based on the average reproductive, productive and economic indicators for the five-year period studied. Decomposition of seasonal time series to determine birth behavior was performed, using a multiplication model, considering 10 % above or below 100 %. Dairy No. 1 had birth peaks in the April-July period, with the highest values in May, which seemed to have determined a better behavior, especially in its best year, in relation with reproductive efficiency (78 % birth rate); productive, (1 393 kg/ha); and economic (0.86 CUP/kg of milk), in comparison with the rest of the units and the means from the years studied. These results corroborate the feasibility of improving milk production efficiency when the birth peaks occur within the rainy season

Effect of Concentrated Calving on Commercial Dairies in Ciego de Ávila Province. II. Case Study

The bio-economic behavior of 10 commercial dairies was assessed as to forage production, and annual calving patterns. Dairy No. 3 was used as a comparison model in a case study, based on in previous studies results (2011) where it stood out from the rest, with 86 % calving pattern in the April-August period. To determine the influence of the calving pattern oriented to the rainy season, on the production and bio-economic efficiency indicators, the behavior of dairy no. 3 in 2011 was compared with its mean values for the previous years; the means of dairies grouped in pat-terns I and II, and the mean of dairies in pattern III, without the case study unit. The results indicated that dairy No. 3 reached higher gross profits than the rest, concerning productive efficiency (1 298 kg of milk/ha and 32 975 kg of milk/worker or working unit (UT)), with higher income from milk sales, income-expenses, and lower costs of milk production (0.84 CUP/kg of milk). These results are linked to a more favorable calving pattern this year

Comportamiento anual de indicadores bioeconómicos de la producción de leche en vaquerías de la empresa pecuaria Ruta Invasora, Ciego de Ávila. II. Vaquería caso.

En una investigación precedente realizada en la Empresa Pecuaria Ruta Invasora, en la provincia de Ciego de Ávila, donde se evaluó elcomportamiento anual de indicadores bioeconómicos de la producción lechera en 10 vaquerías productoras de leche, se destacó la número 1. Esta se tomó como modelo de comparación para un estudio de caso. Se comparó con las nueve unidades restantes, tomando como referencia indicadores reproductivos, productivos y económicos, promedio en los cinco años estudiados. Para deter-minar el comportamiento de los nacimientos se realizó la descomposición estacional de series de tiempo, mediante un modelo multiplicativo, considerando el 10 % por encima o por debajo del 100 %. La vaquería 1 tuvo picos de nacimientos en el periodo abril-julio, con el mayor por ciento en mayo, lo que al parecer determinó un comportamiento superior, particularmente en su mejor año, en los indicadores de eficiencia reproductiva, (78 % de natalidad), productiva (1 393 kg/ha) y económica (0,86 CUP/kg de leche), respecto al resto de las unidades, considerando la media de los años en estudio. Estos resultados confirman la posi-bilidad de alcanzar en el territorio mejores resultados en la eficiencia de la producción de leche cuando los picos de nacimientos coinciden con los meses del periodo lluvioso

Indicadores bioeconómicos de la producción de leche en vaquerías. I. Estacionalidad.

Se evaluó el comportamiento anual de indicadores bioeconómicos en 10 vaquerías de la empresa pecuaria Ruta Invasora, Ciego de Ávila, Cuba. Se realizó un balance forrajero para estimar la situación de la base alimentaria en las unidades. Los datos se procesaron mediante la prueba de Kruskal-Wllis para K muestras independientes. Se utilizó el procedimiento descomposición estacional de series de tiempo para las variables: nacimientos, producción en kilo-gramo por hectárea, producción por vaca, ingresos totales y gastos totales, mediante un modelo multiplicativo. La in-suficiente disponibilidad y calidad de la oferta de voluminosos, determinaron balances forrajeros negativos en las épocas del año estudiadas. Se determinó comportamiento estacional para nacimientos con mayores picos en enero, marzo a mayo y septiembre. La producción mensual de leche y kilogramo por hectárea, se comportaron de manera estacional con mayores valores desde los meses de junio a octubre, en correspondencia con los ingresos por leche e ingresos totales, al parecer por el mayor por ciento de nacimientos en cuatro meses del período lluvioso.Bio-Economic Indicators of Milk Production in Dairies. I. Seasonality.ABSTRACTThe annual behavior of bio-economic indicators in 10 dairies of the cattle enterprise Ruta Invasora, Ciego de Ávi-la, Cuba was evaluated. A forage balance was carried out to estimate the condition of the food basis in the units. The data was processed through the Kruskal-Wllis test with K independent samples. The seasonal decomposition proce-dure of times series was used for the following variables: births, production in kilogram per hectares, production per cow, total profits and expenses through a multiplication model. The inadequate availability and quality of the voluminous offer resulted in negative forage balances in the periods of the year studied. The seasonal behavior of births showed the greatest peaks in January, March-May and September. The monthly milk production and kilogram per hectare behaved in a seasonal way with greater values since the months of June to October according to the incomes due to milk, and total incomes, apparently because of hundreds of births in four months of the rainy season