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Localizations of E-Theory and Transchromatic Phenomena in Stable Homotopy Theory
Başlık:
Localizations of E-Theory and Transchromatic Phenomena in Stable Homotopy Theory
Yazar:
VanKoughnett, Paul, author.
ISBN:
9780438116801
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (124 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisors: Paul G. Goerss Committee members: John K. Francis; Mihnea Popa.
Özet:
Chromatic homotopy theory studies a parametrization of stable homotopy theory in terms of algebraic objects called formal groups. Transchromatic homotopy theory is specifically concerned with the behavior of spaces and cohomology theories as these formal groups change in height. We pursue a central transchromatic object, the K(n -- 1)- localization of a height n Morava E-theory En. We give a modular description of the coefficients of LK(n -- 1)E n in terms of deformations of formal groups together with extra data about the (n -- 1)th Lubin-Tate coordinate. We use this to describe co-operations and power operations in this transchromatic setting. As an application, we construct exotic multiplicative structures on LK(1)E2, not induced from the ring structure on E2 by K(1)-localization.
Notlar:
School code: 0163
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(693230.1) | 693230-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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