46,247 research outputs found
The AGL Equation from a Dipole Picture
The AGL equation includes all multiple pomeron exchanges in the double
logarithmic approximation (DLA) limit, leading to an unitarized gluon
distribution in the small 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 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
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
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
- …