Matches in SemOpenAlex for { <https://semopenalex.org/work/W2912494901> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2912494901 abstract "Symanzik polynomials are defined on Feynman graphs and they are used in quantum field theory to compute Feynman amplitudes. They also appear in mathematics from different perspective. For example, recent results show that they allow to describe asymptotic limits of geometric quantities associated to families of Riemann surfaces. In this paper, we propose a generalization of Symanzik polynomials to the setting of higher dimensional simplicial complexes and study their basic properties and applications. We state a duality relation between these generalized Symanzik polynomials and what we call Kirchhoff polynomials, which have been introduced in recent generalizations of Kirchhoff's matrix-tree theorem to simplicial complexes. Moreover, we obtain geometric invariants which compute interesting data on triangulable manifolds. As the name indicates, these invariants do not depend on the chosen triangulation. We furthermore prove a stability theorem concerning the ratio of Symanzik polynomials which extends a stability theorem of Amini to higher dimensional simplicial complexes. In order to show that theorem, we will make great use of matroids, and provide a complete classification of the connected components of the exchange graph of a matroid, a result we hope could be of independent interest. Finally, we give some idea on how to generalize Symanzik polynomials to the setting of matroids over hyperfields defined recently by Baker and Bowler." @default.
- W2912494901 created "2019-02-21" @default.
- W2912494901 creator A5017306416 @default.
- W2912494901 date "2019-02-13" @default.
- W2912494901 modified "2023-10-16" @default.
- W2912494901 title "A multidimensional generalization of Symanzik polynomials" @default.
- W2912494901 cites W1793095920 @default.
- W2912494901 cites W1973708586 @default.
- W2912494901 cites W1984835740 @default.
- W2912494901 cites W1996820973 @default.
- W2912494901 cites W2008095352 @default.
- W2912494901 cites W2015204982 @default.
- W2912494901 cites W2029339103 @default.
- W2912494901 cites W2031844809 @default.
- W2912494901 cites W2040526835 @default.
- W2912494901 cites W2060103041 @default.
- W2912494901 cites W2061384435 @default.
- W2912494901 cites W2068423395 @default.
- W2912494901 cites W2073583227 @default.
- W2912494901 cites W2105540696 @default.
- W2912494901 cites W2134506831 @default.
- W2912494901 cites W2160923591 @default.
- W2912494901 cites W2224610365 @default.
- W2912494901 cites W2259088946 @default.
- W2912494901 cites W2295578127 @default.
- W2912494901 cites W2490010345 @default.
- W2912494901 cites W2582631102 @default.
- W2912494901 cites W2597287305 @default.
- W2912494901 cites W2748523447 @default.
- W2912494901 cites W2898617375 @default.
- W2912494901 cites W2962785277 @default.
- W2912494901 cites W2963129589 @default.
- W2912494901 cites W2964127965 @default.
- W2912494901 cites W2964251841 @default.
- W2912494901 cites W2971330320 @default.
- W2912494901 cites W3040586665 @default.
- W2912494901 cites W3099166087 @default.
- W2912494901 cites W3099744185 @default.
- W2912494901 cites W3101233038 @default.
- W2912494901 cites W808394158 @default.
- W2912494901 hasPublicationYear "2019" @default.
- W2912494901 type Work @default.
- W2912494901 sameAs 2912494901 @default.
- W2912494901 citedByCount "0" @default.
- W2912494901 crossrefType "posted-content" @default.
- W2912494901 hasAuthorship W2912494901A5017306416 @default.
- W2912494901 hasConcept C134306372 @default.
- W2912494901 hasConcept C136119220 @default.
- W2912494901 hasConcept C177148314 @default.
- W2912494901 hasConcept C202444582 @default.
- W2912494901 hasConcept C33923547 @default.
- W2912494901 hasConceptScore W2912494901C134306372 @default.
- W2912494901 hasConceptScore W2912494901C136119220 @default.
- W2912494901 hasConceptScore W2912494901C177148314 @default.
- W2912494901 hasConceptScore W2912494901C202444582 @default.
- W2912494901 hasConceptScore W2912494901C33923547 @default.
- W2912494901 hasLocation W29124949011 @default.
- W2912494901 hasLocation W29124949012 @default.
- W2912494901 hasOpenAccess W2912494901 @default.
- W2912494901 hasPrimaryLocation W29124949011 @default.
- W2912494901 hasRelatedWork W1971753667 @default.
- W2912494901 hasRelatedWork W1997271576 @default.
- W2912494901 hasRelatedWork W2045401532 @default.
- W2912494901 hasRelatedWork W2052275678 @default.
- W2912494901 hasRelatedWork W2068208308 @default.
- W2912494901 hasRelatedWork W2082669437 @default.
- W2912494901 hasRelatedWork W2135903396 @default.
- W2912494901 hasRelatedWork W2348187822 @default.
- W2912494901 hasRelatedWork W2531056186 @default.
- W2912494901 hasRelatedWork W2946992918 @default.
- W2912494901 isParatext "false" @default.
- W2912494901 isRetracted "false" @default.
- W2912494901 magId "2912494901" @default.
- W2912494901 workType "article" @default.