Tropical refined curve counting from higher genera and lambda classes

Block and Göttsche have defined a q-number refinement of counts of tropical curves in [Formula: see text] . Under the change of variables [Formula: see text] , we show that the result is a generating series of higher genus log Gromov–Witten invariants with insertion of a lambda class. This gives a g...

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Detalles Bibliográficos
Autor principal: Bousseau, Pierrick
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6383590/
https://www.ncbi.nlm.nih.gov/pubmed/30872860
http://dx.doi.org/10.1007/s00222-018-0823-z
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author Bousseau, Pierrick
author_facet Bousseau, Pierrick
author_sort Bousseau, Pierrick
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description Block and Göttsche have defined a q-number refinement of counts of tropical curves in [Formula: see text] . Under the change of variables [Formula: see text] , we show that the result is a generating series of higher genus log Gromov–Witten invariants with insertion of a lambda class. This gives a geometric interpretation of the Block-Göttsche invariants and makes their deformation invariance manifest.
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spelling pubmed-63835902019-03-12 Tropical refined curve counting from higher genera and lambda classes Bousseau, Pierrick Invent Math Article Block and Göttsche have defined a q-number refinement of counts of tropical curves in [Formula: see text] . Under the change of variables [Formula: see text] , we show that the result is a generating series of higher genus log Gromov–Witten invariants with insertion of a lambda class. This gives a geometric interpretation of the Block-Göttsche invariants and makes their deformation invariance manifest. Springer Berlin Heidelberg 2018-10-05 2019 /pmc/articles/PMC6383590/ /pubmed/30872860 http://dx.doi.org/10.1007/s00222-018-0823-z Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Bousseau, Pierrick
Tropical refined curve counting from higher genera and lambda classes
title Tropical refined curve counting from higher genera and lambda classes
title_full Tropical refined curve counting from higher genera and lambda classes
title_fullStr Tropical refined curve counting from higher genera and lambda classes
title_full_unstemmed Tropical refined curve counting from higher genera and lambda classes
title_short Tropical refined curve counting from higher genera and lambda classes
title_sort tropical refined curve counting from higher genera and lambda classes
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6383590/
https://www.ncbi.nlm.nih.gov/pubmed/30872860
http://dx.doi.org/10.1007/s00222-018-0823-z
work_keys_str_mv AT bousseaupierrick tropicalrefinedcurvecountingfromhighergeneraandlambdaclasses

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