Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950147208> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W2950147208 abstract "We introduce the wedge product of two polytopes. The wedge product is described in terms of inequality systems, in terms of vertex coordinates as well as purely combinatorially, from the corresponding data of its constituents. The wedge product construction can be described as an iterated ``subdirect product'' as introduced by McMullen (1976); it is dual to the ``wreath product'' construction of Joswig and Lutz (2005). One particular instance of the wedge product construction turns out to be especially interesting: The wedge products of polygons with simplices contain certain combinatorially regular polyhedral surfaces as subcomplexes. These generalize known classes of surfaces ``of unusually large genus'' that first appeared in works by Coxeter (1937), Ringel (1956), and McMullen, Schulz, and Wills (1983). Via ``projections of deformed wedge products'' we obtain realizations of some of the surfaces in the boundary complexes of 4-polytopes, and thus in R^3. As additional benefits our construction also yields polyhedral subdivisions for the interior and the exterior, as well as a great number of local deformations (``moduli'') for the surfaces in R^3. In order to prove that there are many moduli, we introduce the concept of ``affine support sets'' in simple polytopes. Finally, we explain how duality theory for 4-dimensional polytopes can be exploited in order to also realize combinatorially dual surfaces in R^3 via dual 4-polytopes." @default.
- W2950147208 created "2019-06-27" @default.
- W2950147208 creator A5011905806 @default.
- W2950147208 creator A5055917631 @default.
- W2950147208 date "2009-08-21" @default.
- W2950147208 modified "2023-10-01" @default.
- W2950147208 title "Polyhedral Surfaces in Wedge Products" @default.
- W2950147208 cites W1980041860 @default.
- W2950147208 cites W1989416207 @default.
- W2950147208 cites W2017014818 @default.
- W2950147208 cites W2024168484 @default.
- W2950147208 cites W2055621643 @default.
- W2950147208 cites W2111413025 @default.
- W2950147208 cites W2494626973 @default.
- W2950147208 hasPublicationYear "2009" @default.
- W2950147208 type Work @default.
- W2950147208 sameAs 2950147208 @default.
- W2950147208 citedByCount "2" @default.
- W2950147208 crossrefType "posted-content" @default.
- W2950147208 hasAuthorship W2950147208A5011905806 @default.
- W2950147208 hasAuthorship W2950147208A5055917631 @default.
- W2950147208 hasConcept C114614502 @default.
- W2950147208 hasConcept C132525143 @default.
- W2950147208 hasConcept C134306372 @default.
- W2950147208 hasConcept C140479938 @default.
- W2950147208 hasConcept C145691206 @default.
- W2950147208 hasConcept C202444582 @default.
- W2950147208 hasConcept C2524010 @default.
- W2950147208 hasConcept C33923547 @default.
- W2950147208 hasConcept C47422493 @default.
- W2950147208 hasConcept C80899671 @default.
- W2950147208 hasConcept C90673727 @default.
- W2950147208 hasConceptScore W2950147208C114614502 @default.
- W2950147208 hasConceptScore W2950147208C132525143 @default.
- W2950147208 hasConceptScore W2950147208C134306372 @default.
- W2950147208 hasConceptScore W2950147208C140479938 @default.
- W2950147208 hasConceptScore W2950147208C145691206 @default.
- W2950147208 hasConceptScore W2950147208C202444582 @default.
- W2950147208 hasConceptScore W2950147208C2524010 @default.
- W2950147208 hasConceptScore W2950147208C33923547 @default.
- W2950147208 hasConceptScore W2950147208C47422493 @default.
- W2950147208 hasConceptScore W2950147208C80899671 @default.
- W2950147208 hasConceptScore W2950147208C90673727 @default.
- W2950147208 hasLocation W29501472081 @default.
- W2950147208 hasOpenAccess W2950147208 @default.
- W2950147208 hasPrimaryLocation W29501472081 @default.
- W2950147208 hasRelatedWork W1553030476 @default.
- W2950147208 hasRelatedWork W1622926198 @default.
- W2950147208 hasRelatedWork W1670072778 @default.
- W2950147208 hasRelatedWork W1792823934 @default.
- W2950147208 hasRelatedWork W1974155191 @default.
- W2950147208 hasRelatedWork W2010956544 @default.
- W2950147208 hasRelatedWork W2061293793 @default.
- W2950147208 hasRelatedWork W2130259721 @default.
- W2950147208 hasRelatedWork W2277616980 @default.
- W2950147208 hasRelatedWork W2320988437 @default.
- W2950147208 hasRelatedWork W2402162144 @default.
- W2950147208 hasRelatedWork W2622133252 @default.
- W2950147208 hasRelatedWork W2891613769 @default.
- W2950147208 hasRelatedWork W2900259786 @default.
- W2950147208 hasRelatedWork W2950173082 @default.
- W2950147208 hasRelatedWork W3104872235 @default.
- W2950147208 hasRelatedWork W3112660133 @default.
- W2950147208 hasRelatedWork W3113701614 @default.
- W2950147208 hasRelatedWork W3117123897 @default.
- W2950147208 hasRelatedWork W71491480 @default.
- W2950147208 isParatext "false" @default.
- W2950147208 isRetracted "false" @default.
- W2950147208 magId "2950147208" @default.
- W2950147208 workType "article" @default.