Thumbnail
Access Restriction
Open

Author Lipyanskiy, Max
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-19
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Symplectic Geometry ♦ math
Abstract This is the first of a series of papers on foundations of Floer theory. We give an axiomatic treatment of the geometric notion of a semi-infinite cycle. Using this notion, we introduce a bordism version of Floer theory for the cotangent bundle of a compact manifold M. Our construction is geometric and does not require the compactness and gluing results traditionally used to setup Floer theory. Finally, we prove a bordism version of Viterbo's theorem relating Floer bordism of the cotangent bundle to the ordinary bordism groups of the free loop space of M.
Educational Use Research
Learning Resource Type Article


Open content in new tab

   Open content in new tab