Matches in SemOpenAlex for { <https://semopenalex.org/work/W2308621787> ?p ?o ?g. }
- W2308621787 abstract "We study Weinstein 4-manifolds which admit Lagrangian skeleta given by attaching disks to a surface along a collection of simple closed curves. In terms of the curves describing one such skeleton, we describe surgeries that preserve the ambient Weinstein manifold, but change the skeleton. The surgeries can be iterated to produce more such skeleta --- in many cases, infinitely many more. Each skeleton is built around a Lagrangian surface. Passing to the Fukaya category, the skeletal surgeries induce cluster transformations on the spaces of rank one local systems on these surfaces, and noncommutative analogues of cluster transformations on the spaces of higher rank local systems. In particular, the problem of producing and distinguishing such Lagrangians maps to a combination of combinatorial-geometric questions about curve configurations on surfaces and algebraic questions about exchange graphs of cluster algebras. Conversely, this expands the dictionary relating the cluster theory of character varieties, positroid strata, and related spaces to the symplectic geometry of Lagrangian fillings of Legendrian knots, by incorporating cluster charts more general than those associated to bicolored surface graphs." @default.
- W2308621787 created "2016-06-24" @default.
- W2308621787 creator A5020375027 @default.
- W2308621787 creator A5077525113 @default.
- W2308621787 creator A5083704202 @default.
- W2308621787 date "2016-03-24" @default.
- W2308621787 modified "2023-09-27" @default.
- W2308621787 title "On the combinatorics of exact Lagrangian surfaces" @default.
- W2308621787 cites W148677583 @default.
- W2308621787 cites W1490039253 @default.
- W2308621787 cites W1523180010 @default.
- W2308621787 cites W1570670555 @default.
- W2308621787 cites W1577273773 @default.
- W2308621787 cites W1584464294 @default.
- W2308621787 cites W1589994440 @default.
- W2308621787 cites W1595180095 @default.
- W2308621787 cites W1619023644 @default.
- W2308621787 cites W1672638072 @default.
- W2308621787 cites W1680171265 @default.
- W2308621787 cites W1862533839 @default.
- W2308621787 cites W1901411604 @default.
- W2308621787 cites W1903418122 @default.
- W2308621787 cites W1977026965 @default.
- W2308621787 cites W1986111861 @default.
- W2308621787 cites W2012513761 @default.
- W2308621787 cites W2023351834 @default.
- W2308621787 cites W2027557725 @default.
- W2308621787 cites W2058122372 @default.
- W2308621787 cites W2063619670 @default.
- W2308621787 cites W2069308153 @default.
- W2308621787 cites W2105600529 @default.
- W2308621787 cites W2118660796 @default.
- W2308621787 cites W2133314243 @default.
- W2308621787 cites W2194642005 @default.
- W2308621787 cites W2215781666 @default.
- W2308621787 cites W2324239188 @default.
- W2308621787 cites W2429115183 @default.
- W2308621787 cites W2500739438 @default.
- W2308621787 cites W2949270865 @default.
- W2308621787 cites W2950428269 @default.
- W2308621787 cites W2952178918 @default.
- W2308621787 cites W2953201496 @default.
- W2308621787 cites W2963156240 @default.
- W2308621787 cites W2963353666 @default.
- W2308621787 cites W3037370586 @default.
- W2308621787 hasPublicationYear "2016" @default.
- W2308621787 type Work @default.
- W2308621787 sameAs 2308621787 @default.
- W2308621787 citedByCount "22" @default.
- W2308621787 countsByYear W23086217872016 @default.
- W2308621787 countsByYear W23086217872017 @default.
- W2308621787 countsByYear W23086217872018 @default.
- W2308621787 countsByYear W23086217872019 @default.
- W2308621787 countsByYear W23086217872020 @default.
- W2308621787 countsByYear W23086217872021 @default.
- W2308621787 countsByYear W23086217872022 @default.
- W2308621787 countsByYear W23086217872023 @default.
- W2308621787 crossrefType "posted-content" @default.
- W2308621787 hasAuthorship W2308621787A5020375027 @default.
- W2308621787 hasAuthorship W2308621787A5077525113 @default.
- W2308621787 hasAuthorship W2308621787A5083704202 @default.
- W2308621787 hasConcept C111472728 @default.
- W2308621787 hasConcept C114614502 @default.
- W2308621787 hasConcept C121332964 @default.
- W2308621787 hasConcept C121864883 @default.
- W2308621787 hasConcept C134306372 @default.
- W2308621787 hasConcept C136119220 @default.
- W2308621787 hasConcept C138885662 @default.
- W2308621787 hasConcept C140479938 @default.
- W2308621787 hasConcept C164226766 @default.
- W2308621787 hasConcept C164866538 @default.
- W2308621787 hasConcept C165879259 @default.
- W2308621787 hasConcept C168619227 @default.
- W2308621787 hasConcept C199360897 @default.
- W2308621787 hasConcept C202444582 @default.
- W2308621787 hasConcept C2524010 @default.
- W2308621787 hasConcept C2776799497 @default.
- W2308621787 hasConcept C2780586882 @default.
- W2308621787 hasConcept C33923547 @default.
- W2308621787 hasConcept C41008148 @default.
- W2308621787 hasConcept C51329190 @default.
- W2308621787 hasConcept C54643580 @default.
- W2308621787 hasConcept C68797384 @default.
- W2308621787 hasConceptScore W2308621787C111472728 @default.
- W2308621787 hasConceptScore W2308621787C114614502 @default.
- W2308621787 hasConceptScore W2308621787C121332964 @default.
- W2308621787 hasConceptScore W2308621787C121864883 @default.
- W2308621787 hasConceptScore W2308621787C134306372 @default.
- W2308621787 hasConceptScore W2308621787C136119220 @default.
- W2308621787 hasConceptScore W2308621787C138885662 @default.
- W2308621787 hasConceptScore W2308621787C140479938 @default.
- W2308621787 hasConceptScore W2308621787C164226766 @default.
- W2308621787 hasConceptScore W2308621787C164866538 @default.
- W2308621787 hasConceptScore W2308621787C165879259 @default.
- W2308621787 hasConceptScore W2308621787C168619227 @default.
- W2308621787 hasConceptScore W2308621787C199360897 @default.
- W2308621787 hasConceptScore W2308621787C202444582 @default.
- W2308621787 hasConceptScore W2308621787C2524010 @default.
- W2308621787 hasConceptScore W2308621787C2776799497 @default.
- W2308621787 hasConceptScore W2308621787C2780586882 @default.