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FLOER THEORY FOR LAGRANGIAN COBORDISMS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10423849" target="_blank" >RIV/00216208:11320/20:10423849 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=giqv45Cgtm" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=giqv45Cgtm</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4310/jdg/1583377213" target="_blank" >10.4310/jdg/1583377213</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    FLOER THEORY FOR LAGRANGIAN COBORDISMS

  • Original language description

    In this article we define intersection Floer homology for exact Lagrangian cobordisms between Legendrian submanifolds in the contactisation of a Liouville manifold, provided that the Chekanov-Eliashberg algebras of the negative ends of the cobordisms admit augmentations. From this theory we derive several long exact sequences relating the Morse homology of an exact Lagrangian cobordism with the bilinearised contact homologies of its ends. These are then used to investigate the topological properties of exact Lagrangian cobordisms.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Differential Geometry

  • ISSN

    0022-040X

  • e-ISSN

  • Volume of the periodical

    114

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    73

  • Pages from-to

    393-465

  • UT code for WoS article

    000519096300001

  • EID of the result in the Scopus database