FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2922387724> ?p ?o ?g. }

• W2922387724 abstract "We complete the program of Ref. [3,5] of connecting totally non-negative Grassmannians to the reality problem in KP finite-gap theory via the assignment of real regular divisors on rational degenerations of M-curves for the class of real regular multi-line soliton solutions of KP II equation whose asymptotic behavior has been combinatorially characterized by Chakravarthy, Kodama and Williams. We use the plabic networks in the disk introduced by Postnikov to parametrize positroid cells in totally nonnegative Grassmannians. The boundary of the disk corresponds to the rational curve associated to the soliton data in the direct spectral problem, and the bicolored graph is the dual of a reducible curve G which is the rational degeneration of a regular M-curve whose genus g equals the number of faces of the network diminished by one. We assign systems of edge vectors to the planar bicolored networks. The system of relations satisfied by them has maximal rank and may be reformulated in the form of edge signatures.. We prove that the components of the edge vectors are rational in the edge weights with subtraction free denominators and provide their explicit expressions in terms of conservative and edge flows. The edge vectors rule the value of the KP wave function at the double points of G, whereas the signatures at the vertices rule the position of the divisor in the ovals. We prove that the divisor satisfies the conditions of Dubrovin-Natanzon for real finite-gap solutions: there is exactly one divisor point in each oval except for the one containing the essential singularity of the wave function. The divisor may be explicitly computed using the linear relations at the vertices of the network. We explain the role of moves and reductions in the transformation of both the curve and the divisor for given soliton data, and apply our construction to some examples." @default.
• W2922387724 created "2019-03-22" @default.
• W2922387724 creator A5046314591 @default.
• W2922387724 creator A5046684160 @default.
• W2922387724 date "2017-12-30" @default.
• W2922387724 modified "2023-09-27" @default.
• W2922387724 title "KP theory, plabic networks in the disk and rational degenerations of M--curves" @default.
• W2922387724 cites W1496590890 @default.
• W2922387724 cites W1506377508 @default.
• W2922387724 cites W1515192744 @default.
• W2922387724 cites W1537957332 @default.
• W2922387724 cites W1562785810 @default.
• W2922387724 cites W1593193619 @default.
• W2922387724 cites W1603316146 @default.
• W2922387724 cites W1623071293 @default.
• W2922387724 cites W1637606347 @default.
• W2922387724 cites W1672638072 @default.
• W2922387724 cites W1809529033 @default.
• W2922387724 cites W1813685111 @default.
• W2922387724 cites W1833792228 @default.
• W2922387724 cites W1889878297 @default.
• W2922387724 cites W1898987871 @default.
• W2922387724 cites W1964918203 @default.
• W2922387724 cites W1969147208 @default.
• W2922387724 cites W1971607534 @default.
• W2922387724 cites W1978861770 @default.
• W2922387724 cites W1981683093 @default.
• W2922387724 cites W1987909429 @default.
• W2922387724 cites W2010528264 @default.
• W2922387724 cites W2011624720 @default.
• W2922387724 cites W2015676663 @default.
• W2922387724 cites W2022443517 @default.
• W2922387724 cites W2029605294 @default.
• W2922387724 cites W2058618013 @default.
• W2922387724 cites W2064109025 @default.
• W2922387724 cites W2068546742 @default.
• W2922387724 cites W2068608571 @default.
• W2922387724 cites W2086326409 @default.
• W2922387724 cites W2092231151 @default.
• W2922387724 cites W2095168522 @default.
• W2922387724 cites W2101698846 @default.
• W2922387724 cites W2145786765 @default.
• W2922387724 cites W2258126206 @default.
• W2922387724 cites W2347012371 @default.
• W2922387724 cites W2611849808 @default.
• W2922387724 cites W2774424166 @default.
• W2922387724 cites W2795080653 @default.
• W2922387724 cites W2804975760 @default.
• W2922387724 cites W2907808561 @default.
• W2922387724 cites W2963180040 @default.
• W2922387724 cites W2963353666 @default.
• W2922387724 cites W2964062462 @default.
• W2922387724 cites W2964272847 @default.
• W2922387724 cites W2965777282 @default.
• W2922387724 cites W2969611257 @default.
• W2922387724 cites W2973074523 @default.
• W2922387724 cites W3098222108 @default.
• W2922387724 cites W3101206199 @default.
• W2922387724 cites W3101549267 @default.
• W2922387724 cites W3102785217 @default.
• W2922387724 cites W614920821 @default.
• W2922387724 hasPublicationYear "2017" @default.
• W2922387724 type Work @default.
• W2922387724 sameAs 2922387724 @default.
• W2922387724 citedByCount "3" @default.
• W2922387724 countsByYear W29223877242018 @default.
• W2922387724 countsByYear W29223877242019 @default.
• W2922387724 countsByYear W29223877242020 @default.
• W2922387724 crossrefType "posted-content" @default.
• W2922387724 hasAuthorship W2922387724A5046314591 @default.
• W2922387724 hasAuthorship W2922387724A5046684160 @default.
• W2922387724 hasConcept C114614502 @default.
• W2922387724 hasConcept C118615104 @default.
• W2922387724 hasConcept C134306372 @default.
• W2922387724 hasConcept C202444582 @default.
• W2922387724 hasConcept C203492994 @default.
• W2922387724 hasConcept C33923547 @default.
• W2922387724 hasConcept C75190567 @default.
• W2922387724 hasConceptScore W2922387724C114614502 @default.
• W2922387724 hasConceptScore W2922387724C118615104 @default.
• W2922387724 hasConceptScore W2922387724C134306372 @default.
• W2922387724 hasConceptScore W2922387724C202444582 @default.
• W2922387724 hasConceptScore W2922387724C203492994 @default.
• W2922387724 hasConceptScore W2922387724C33923547 @default.
• W2922387724 hasConceptScore W2922387724C75190567 @default.
• W2922387724 hasLocation W29223877241 @default.
• W2922387724 hasOpenAccess W2922387724 @default.
• W2922387724 hasPrimaryLocation W29223877241 @default.
• W2922387724 hasRelatedWork W1526711340 @default.
• W2922387724 hasRelatedWork W1540269572 @default.
• W2922387724 hasRelatedWork W1894085032 @default.
• W2922387724 hasRelatedWork W2050384371 @default.
• W2922387724 hasRelatedWork W2090468701 @default.
• W2922387724 hasRelatedWork W2118546796 @default.
• W2922387724 hasRelatedWork W2320222014 @default.
• W2922387724 hasRelatedWork W2327940002 @default.
• W2922387724 hasRelatedWork W2809082351 @default.
• W2922387724 hasRelatedWork W2949086077 @default.
• W2922387724 hasRelatedWork W2949979996 @default.
• W2922387724 hasRelatedWork W2953347306 @default.

• next