2014/06/02 by Jonathan Spreer, Uli Wagner, Spreer, Jonathan +9
Computer Science · Engineering · Mathematics · #52B05 #57M50 #57N10 #57N35 #57Q15 #57Q35 #68Q17 #68U05 #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #F.1.3 #F.4.1 #FOS: Computer and information sciences #FOS: Mathematics #G.2.1 #G.2.2 #Geometric Topology (math.GT) #Geometric and Algebraic Topology #I.3.5 #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1406.0333
openalex publication_date 2014/06/02 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28
This workshop about triangulations of manifolds in computational geometry and\ntopology was held at the 2014 CG-Week in Kyoto, Japan.\n It focussed on computational and combinatorial questions regarding\ntriangulations, with the goal of bringing together researchers working on\nvarious aspects of triangulations and of fostering a closer collaboration\nwithin the computational geometry and topology community.\n Triangulations are highly suitable for computations due to their clear\ncombinatorial structure. As a consequence, they have been successfully employed\nin discrete algorithms to solve purely theoretical problems in a broad variety\nof mathematical research areas (knot theory, polytope theory, 2- and 3-manifold\ntopology, geometry, and others). However, due to the large variety of\napplications, requirements vary from field to field and thus different types of\ntriangulations, different tools, and different frameworks are used in different\nareas of research. This is why today closely related research areas are\nsometimes largely disjoint leaving potential reciprocal benefits unused.\n To address these potentials a workshop on Triangulations was held at\nOberwolfach Research Institute in 2012. Since then many new collaborations\nbetween researchers of different mathematical communities have been\nestablished. Regarding the computational geometry community, the theory of\nmanifolds continues to contribute to advances in more applied areas of the\nfield. Many researchers are interested in fundamental mathematical research\nabout triangulations and thus will benefit from a broad set of knowledge about\ndifferent research areas using different techniques.\n We hope that this workshop brought together researchers from many different\nfields of computational geometry to have fruitful discussions which will lead\nto new interdisciplinary collaborations and solutions.\n