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The Viterbo transfer as a map of spectra
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0003-2618-5712
2018 (English)In: The Journal of Symplectic Geometry, ISSN 1527-5256, E-ISSN 1540-2347, Vol. 16, no 1, p. 85-226Article in journal (Refereed) Published
Abstract [en]

Let L and N be two smooth manifolds of the same dimension. Let j: L -> T*N be an exact Lagrange embedding. We denote the free loop space of X by Lambda X. In [28], C. Viterbo constructed a transfer map (Lambda j)' : H* (Lambda L) -> H* (Lambda N). This transfer was constructed using finite dimensional approximation of Floer homology. In this paper we define a family of finite dimensional approximations and realize this transfer as a map of Thom spectra: (Lambda j)', : (Lambda N)(-TN) -> (Lambda L)(-TL+eta), where eta is a virtual vector bundle classified by the tangential information of j.

Place, publisher, year, edition, pages
INT PRESS BOSTON, INC , 2018. Vol. 16, no 1, p. 85-226
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Geometry
Identifiers
URN: urn:nbn:se:uu:diva-361298DOI: 10.4310/JSG.2018.v16.n1.a3ISI: 000439066000003OAI: oai:DiVA.org:uu-361298DiVA, id: diva2:1251124
Available from: 2018-09-26 Created: 2018-09-26 Last updated: 2018-09-26Bibliographically approved

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Kragh, Thomas

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