46,247 research outputs found

    The AGL Equation from a Dipole Picture

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    The AGL equation includes all multiple pomeron exchanges in the double logarithmic approximation (DLA) limit, leading to an unitarized gluon distribution in the small xx regime. This equation was originally obtained using the Glauber-Mueller approach. We demonstrate in this contribution that the AGL equation can also be obtained from the dipole picture. Our conclusion is that the AGL equation is a good candidate for an unitarized evolution equation at small xx in the DLA limit.Comment: 3 pages. To be published in the proceedings of 7th International Workshop on Deep Inelastic Scattering and QCD (DIS 99), Zeuthen, Germany, 19 - 23 Apr 199

    Geometric Cobordism Categories

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    In this paper we study cobordism categories consisting of manifolds which are endowed with geometric structure. Examples of such geometric structures include symplectic structures, flat connections on principal bundles, and complex structures along with a holomorphic map to a target complex manifold. A general notion of "geometric structure" is defined using sheaf theoretic constructions. Our main theorem is the identification of the homotopy type of such cobordism categories in terms of certain Thom spectra. This extends work of Galatius-Madsen-Tillmann-Weiss who identify the homotopy type of cobordism categories of manifolds with fiberwise structures on their tangent bundles. Interpretations of the main theorem are discussed which have relevance to topological field theories, moduli spaces of geometric structures, and h-principles. Applications of the main theorem to various examples of interest in geometry, particularly holomorphic curves, are elaborated upon.Comment: 82 pages. Second version with remarks on higher category approaches and various minor correction

    [Review of] Rakhmiel Peltz. From Immigrant to Ethnic Culture: American Yiddish in South Philadelphia

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    Rakhmiel Peltz, in From Immigrants to Ethnic Culture: American Yiddish in South Philadelphia, presents one of the few ethnographies available on spoken American Yiddish in his investigation of the elderly children of immigrant Jews in a Philadelphia neighborhood. Drawing on audiotaped ethnographic data which includes life histories, personal narratives, interviews, and naturally-occurring interactions in local contexts, Peltz examines how Jewish residents attempt to maintain their yiddishkayt (`Jewishness\u27) as they become a shrinking minority in what was once a thriving Jewish community
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