Matches in SemOpenAlex for { <https://semopenalex.org/work/W3137035736> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W3137035736 endingPage "102190" @default.
- W3137035736 startingPage "102190" @default.
- W3137035736 abstract "Let Γ be a connected bridgeless metric graph, and fix a point v of Γ. We define combinatorial iterated integrals on Γ along closed paths at v, a unipotent generalization of the usual cycle pairing and the combinatorial analogue of Chen's iterated integrals on Riemann surfaces. These descend to a bilinear pairing between the group algebra of the fundamental group of Γ at v and the tensor algebra on the first homology of Γ, ∫:Zπ1(Γ,v)×TH1(Γ,R)→R. We show that this pairing on the two-step unipotent quotient of the group algebra allows one to recover the base-point v up to well-understood finite ambiguity. We encode the data of this structure as the combinatorial harmonic volume which is valued in the tropical intermediate Jacobian. We also give a potential-theoretic characterization for hyperellipticity for graphs." @default.
- W3137035736 created "2021-03-29" @default.
- W3137035736 creator A5003081796 @default.
- W3137035736 creator A5078063993 @default.
- W3137035736 date "2021-07-01" @default.
- W3137035736 modified "2023-09-30" @default.
- W3137035736 title "Combinatorial iterated integrals and the harmonic volume of graphs" @default.
- W3137035736 cites W1505923038 @default.
- W3137035736 cites W1794573077 @default.
- W3137035736 cites W1984127637 @default.
- W3137035736 cites W1988333015 @default.
- W3137035736 cites W1993175250 @default.
- W3137035736 cites W1997147378 @default.
- W3137035736 cites W2025428689 @default.
- W3137035736 cites W2045044457 @default.
- W3137035736 cites W2048667371 @default.
- W3137035736 cites W2060920153 @default.
- W3137035736 cites W2063561921 @default.
- W3137035736 cites W2083387674 @default.
- W3137035736 cites W2593020877 @default.
- W3137035736 cites W2964301923 @default.
- W3137035736 cites W3105421475 @default.
- W3137035736 cites W3189791657 @default.
- W3137035736 cites W4247887167 @default.
- W3137035736 doi "https://doi.org/10.1016/j.aam.2021.102190" @default.
- W3137035736 hasPublicationYear "2021" @default.
- W3137035736 type Work @default.
- W3137035736 sameAs 3137035736 @default.
- W3137035736 citedByCount "0" @default.
- W3137035736 crossrefType "journal-article" @default.
- W3137035736 hasAuthorship W3137035736A5003081796 @default.
- W3137035736 hasAuthorship W3137035736A5078063993 @default.
- W3137035736 hasBestOaLocation W31370357361 @default.
- W3137035736 hasConcept C114614502 @default.
- W3137035736 hasConcept C118615104 @default.
- W3137035736 hasConcept C121332964 @default.
- W3137035736 hasConcept C136119220 @default.
- W3137035736 hasConcept C14103023 @default.
- W3137035736 hasConcept C202444582 @default.
- W3137035736 hasConcept C205633959 @default.
- W3137035736 hasConcept C33923547 @default.
- W3137035736 hasConcept C54101563 @default.
- W3137035736 hasConcept C62520636 @default.
- W3137035736 hasConceptScore W3137035736C114614502 @default.
- W3137035736 hasConceptScore W3137035736C118615104 @default.
- W3137035736 hasConceptScore W3137035736C121332964 @default.
- W3137035736 hasConceptScore W3137035736C136119220 @default.
- W3137035736 hasConceptScore W3137035736C14103023 @default.
- W3137035736 hasConceptScore W3137035736C202444582 @default.
- W3137035736 hasConceptScore W3137035736C205633959 @default.
- W3137035736 hasConceptScore W3137035736C33923547 @default.
- W3137035736 hasConceptScore W3137035736C54101563 @default.
- W3137035736 hasConceptScore W3137035736C62520636 @default.
- W3137035736 hasFunder F4320306076 @default.
- W3137035736 hasLocation W31370357361 @default.
- W3137035736 hasLocation W31370357362 @default.
- W3137035736 hasOpenAccess W3137035736 @default.
- W3137035736 hasPrimaryLocation W31370357361 @default.
- W3137035736 hasRelatedWork W1968024712 @default.
- W3137035736 hasRelatedWork W1977914655 @default.
- W3137035736 hasRelatedWork W1985218657 @default.
- W3137035736 hasRelatedWork W2012849985 @default.
- W3137035736 hasRelatedWork W2022714356 @default.
- W3137035736 hasRelatedWork W2088544526 @default.
- W3137035736 hasRelatedWork W2143411713 @default.
- W3137035736 hasRelatedWork W2913338188 @default.
- W3137035736 hasRelatedWork W3025169563 @default.
- W3137035736 hasRelatedWork W3106133691 @default.
- W3137035736 hasVolume "128" @default.
- W3137035736 isParatext "false" @default.
- W3137035736 isRetracted "false" @default.
- W3137035736 magId "3137035736" @default.
- W3137035736 workType "article" @default.