57,032 research outputs found
A loop group extension of the odd Chern character
We show that the universal odd Chern form, defined on the stable unitary
group , extends to the loop group in a way that is closed with respect
to an equivariant-type differential. This provides an odd analogue to the
Bismut-Chern form. We also describe the associated transgression form, the
so-called Bismut-Chern-Simons form, and explicate some properties it inherits
as a differential form on the space of maps of a cylinder into the stable
unitary group. As a corollary, we obtain the Chern character homomorphism from
odd K-theory to the periodic cohomology of the free loop space, represented
geometrically on the level of differential forms.Comment: 12 pages, comments welcom
Resource Partitioning by Two Species of Stream Mayflies (Ephemeroptera: Heptageniidae)
We compared the phenology of nymph development, food type, and habitat selection of two stream mayflies, Stenacron interpunctatum (Say) and Stenonema pulchellum (Walsh) in Big Darby Creek, Ohio. Both species, which grow principally from autumn through early spring, emerged from the stream throughout the summer. The nymphs consumed the same sizes and types of food particles from deposits on stones, mostly in the form of detritus. As a result of morphological and behavioral adaptations, S. pulchellum lived on stones in swift water whereas S. interpunctatum lived on stones in a slower current
Descriptions of Nymphs of \u3ci\u3eItzalana Submaculata\u3c/i\u3e Schmidt (Homoptera: Fulgoridae), a Species New to the United States
The 3rd, 4th, and 5th instar nymphs of ltzalana submaculata Schmidt are described from southern Texas. Previously recorded only from Surinam, this is the first record of this fulgorid from the United States and Mexico
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