A construction of Frobenius manifolds with logarithmic poles and applications

A construction theorem for Frobenius manifolds with logarithmic poles is established. This is a generalization of a theorem of Hertling and Manin. As an application we prove a generalization of the reconstruction theorem of Kontsevich and Manin for projective smooth varieties with convergent Gromov-Witten potential. A second application is a construction of Frobenius manifolds out of a variation of polarized Hodge structures which degenerates along a normal crossing divisor when certain generation conditions are fulfilled.Comment: 46 page

Creativity in Social Networks: A Core-Periphery Perspectiv

Building on socio-structural explanations, this article elaborates on the tension between individual actors’ positions along the core-periphery continuum of the social field and their ability to gain legitimacy for their creative work. Peripheral actors are less constrained by the field’s normative pressures and free to experiment with un- conventional ideas and solutions, but they may struggle to mobilize attention and harness the symbolic and material resources needed to legitimate their work. By contrast, core players are more effective at leveraging networks to build consensus, but they often exhibit a propensity toward more incremental work due to their higher levels of assimilation into the conventions of the field. To resolve this tension this article advances a strategy which we term optimal network structuration strategy . This strategy implies forming ties that link the two ends of the core-periphery spectrum, in the attempt to increase the likelihood of generating novelty while also enhancing the ability to make such novelty manifest and visible to the field. The theoretical and managerial implications are discussed

Recovery of n-3 polyunsaturated fatty acids and conjugated linoleic acids in ripened cheese obtained from milk of cows fed different levels of extruded flaxseed

Abstract The aim of the study was to investigate whether the addition of extruded flaxseed (EF) in dairy cow diets had an effect on milk fat and individual fatty acids (FA) recovery in cheese after 90 d of ripening. Eighteen Holstein-Friesian cows, divided into 3 experimental groups (6 cows/group), were fed 3 isonitrogenous and isoenergetic diets with 0 (CTR), 500 (EF500), or 1,000g/d (EF1000) of EF in 3 subsequent periods (2 wk/each), following a 3×3 Latin square design. Dry matter intake (DMI) and milk yield were recorded daily. Individual milk samples were collected on d 7 and 13 of each period to determine proximate and FA composition. Eighteen cheese-making sessions (2 for each group and period) were carried out, using a representative pooled milk sample obtained from the 6 cows of each group (10L). At 90 d of ripening, cheeses were analyzed for proximate and FA composition. Cheese yield was computed as the ratio between the weights of ripened cheese and processed milk. Recoveries of fat, individual FA, and grouped FA were computed as the ratio between the corresponding weights in cheese and in milk. Inclusion of EF did not affect DMI, milk yield, or milk composition. Compared with CTR, the 2 diets containing EF increased the proportion of C18:3n-3 and total n-3 FA, in both milk and cheese. Cheese yield and cheese fat percentage did not differ among diets. Likewise, milk fat recovery in cheese was comparable in the 3 treatments and averaged 0.85. The recoveries of individual FA were, for the most part, not dissimilar from fat recovery, except for short-chain saturated FA (from 0.38 for C4:0 to 0.80 for C13:0), some long-chain saturated FA (0.56 and 0.62 for C20:0 and C21:0, respectively), and for C18:3n-6 (1.65). The recovery of saturated FA was lower than that of monounsaturated FA, whereas recovery of polyunsaturated FA was intermediate. Compared with medium- and long-chain FA, short-chain FA were recovered to a smaller extent in cheese. No differences in recovery were found between n-6 and n-3 FA. In conclusion, FA have different recoveries during cheese-making, with lower values for the short-chain compared with long-chain FA, and for saturated FA compared with unsaturated FA. The addition of EF in dairy cow diets did not influence cheese yield or fat recovery in cheese, irrespective of the inclusion level. The experiment confirmed that feeding cows with EF represents a successful strategy for improving the FA profile of dairy products, through an increase of n-3 FA

Multi-filament structures in relativistic self-focusing

A simple model is derived to prove the multi-filament structure of relativistic self-focusing with ultra-intense lasers. Exact analytical solutions describing the transverse structure of waveguide channels with electron cavitation, for which both the relativistic and ponderomotive nonlinearities are taken into account, are presented.Comment: 21 pages, 12 figures, submitted to Physical Review

From the Margins to the Core of Haute Couture: The Entrepreneurial Journey of Coco Chanel

We trace the history of Gabrielle “Coco” Chanel’s entrepreneurial journey as a fashion designer from her early years as an outsider (early 1900s) to her rise to success and consecration as an icon within the French haute couture field (early 1930s)—a field controlled by powerful insiders. Our study sheds light on the social forces and historical circumstances underlying an outsider’s journey from the margins of an established field to its core. Drawing on unique historical material, we develop a novel process view that highlights the shifting influence of forces operating at different levels in the accumulation, deployment, and conversion of various forms of capital (i.e., human, social, economic, and symbolic) that outsiders need to promote their ideas. In particular, our multilevel perspective accounts simultaneously for the individual’s efforts to push forward these ideas (micro-level), as well as the audience dynamics (meso-level) and exogenous forces (macro-level) that shape their recognition. Chanel’s historical case analysis also affords a window into one of the first female entrepreneurs with global impact in business history, with the added challenge of establishing herself in what at the time was a male-dominated and mature field