Floer trajectories and stabilizing divisors
We incorporate pearly Floer trajectories into the tranversality scheme for pseudoholomorphic maps introduced by Cieliebak–Mohnke (J Symplectic Geom 5(3): 281–356, 2007 ). By choosing generic domain-dependent almost complex structures, we obtain zero- and one-dimensional moduli spaces with the struct...
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| Veröffentlicht in: | Journal of fixed point theory and applications 2017-06, Vol.19 (2), p.1165-1236 |
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| container_title | Journal of fixed point theory and applications |
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| creator | Charest, François Woodward, Chris |
| description | We incorporate pearly Floer trajectories into the tranversality scheme for pseudoholomorphic maps introduced by Cieliebak–Mohnke (J Symplectic Geom 5(3): 281–356,
2007
). By choosing generic domain-dependent almost complex structures, we obtain zero- and one-dimensional moduli spaces with the structure of cell complexes with rational fundamental classes. Integrating over these moduli spaces gives a definition of Floer cohomology over Novikov rings via stabilizing divisors for rational Lagrangians that are fixed point sets of anti-symplectic involutions satisfying certain Maslov index conditions as well as Hamiltonian Floer cohomology of compact rational symplectic manifolds. |
| doi_str_mv | 10.1007/s11784-016-0379-8 |
| format | Article |
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2007
). By choosing generic domain-dependent almost complex structures, we obtain zero- and one-dimensional moduli spaces with the structure of cell complexes with rational fundamental classes. Integrating over these moduli spaces gives a definition of Floer cohomology over Novikov rings via stabilizing divisors for rational Lagrangians that are fixed point sets of anti-symplectic involutions satisfying certain Maslov index conditions as well as Hamiltonian Floer cohomology of compact rational symplectic manifolds.</description><identifier>ISSN: 1661-7738</identifier><identifier>EISSN: 1661-7746</identifier><identifier>DOI: 10.1007/s11784-016-0379-8</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Manifolds (mathematics) ; Mathematical Methods in Physics ; Mathematics ; Mathematics and Statistics ; Rings (mathematics) ; Trajectories</subject><ispartof>Journal of fixed point theory and applications, 2017-06, Vol.19 (2), p.1165-1236</ispartof><rights>Springer International Publishing 2017</rights><rights>Copyright Springer Science & Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-96a395002b99bcaf4c93074928a1b478ca735325c552345de3944c451b8783a73</citedby><cites>FETCH-LOGICAL-c316t-96a395002b99bcaf4c93074928a1b478ca735325c552345de3944c451b8783a73</cites><orcidid>0000-0001-9508-5315</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11784-016-0379-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11784-016-0379-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Charest, François</creatorcontrib><creatorcontrib>Woodward, Chris</creatorcontrib><title>Floer trajectories and stabilizing divisors</title><title>Journal of fixed point theory and applications</title><addtitle>J. Fixed Point Theory Appl</addtitle><description>We incorporate pearly Floer trajectories into the tranversality scheme for pseudoholomorphic maps introduced by Cieliebak–Mohnke (J Symplectic Geom 5(3): 281–356,
2007
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2007
). By choosing generic domain-dependent almost complex structures, we obtain zero- and one-dimensional moduli spaces with the structure of cell complexes with rational fundamental classes. Integrating over these moduli spaces gives a definition of Floer cohomology over Novikov rings via stabilizing divisors for rational Lagrangians that are fixed point sets of anti-symplectic involutions satisfying certain Maslov index conditions as well as Hamiltonian Floer cohomology of compact rational symplectic manifolds.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s11784-016-0379-8</doi><tpages>72</tpages><orcidid>https://orcid.org/0000-0001-9508-5315</orcidid></addata></record> |
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| subjects | Analysis Manifolds (mathematics) Mathematical Methods in Physics Mathematics Mathematics and Statistics Rings (mathematics) Trajectories |
| title | Floer trajectories and stabilizing divisors |
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