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dc.contributor.authorCavalieri, Renzo
dc.contributor.authorJohnson, Paul
dc.contributor.authorMarkwig, Hannah
dc.contributor.authorRanganathan, Dhruv
dc.date.accessioned2016-05-10T12:00:03Z
dc.date.accessioned2016-10-05T14:14:05Z
dc.date.available2016-05-10T12:00:03Z
dc.date.available2016-10-05T14:14:05Z
dc.date.issued2016-05-10
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1116
dc.descriptionResearch in Pairs 2015en_US
dc.description.abstractWe explore the explicit relationship between the descendant Gromov–Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/tropical correspondence theorem for descendant invariants and give an algorithm that establishes a tropical Gromov–Witten/Hurwitz equivalence. Tropical curve counting is related to an algebra of operators on the Fock space by means of bosonification. In this manner, tropical geometry provides a convenient “graphical user interface” for Okounkov and Pandharipande’s celebrated GW/H correspondence. An important goal of this paper is to spell out the connections between these various perspectives for target dimension 1, as a first step in studying the analogous relationship between logarithmic descendant theory, tropical curve counting, and Fock space formalisms in higher dimensions.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2016,06
dc.titleA graphical interface for the Gromov-Witten theory of curvesen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2016-06
local.scientificprogramResearch in Pairs 2015
local.series.idOWP-2016-06
dc.identifier.urnurn:nbn:de:101:1-201605115625
dc.identifier.ppn1656555158


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