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This workshop about triangulations of manifolds in computational geometry andtopology was held at the 2014 CG-Week in Kyoto, Japan.  It focussed on computational and combinatorial questions regardingtriangulations, with the goal of bringing together researchers working onvarious aspects of triangulations and of fostering a closer collaborationwithin the computational geometry and topology community.  Triangulations are highly suitable for computations due to their clearcombinatorial structure. As a consequence, they have been successfully employedin discrete algorithms to solve purely theoretical problems in a broad varietyof mathematical research areas (knot theory, polytope theory, 2- and 3-manifoldtopology, geometry, and others). However, due to the large variety ofapplications, requirements vary from field to field and thus different types oftriangulations, different tools, and different frameworks are used in differentareas of research. This is why today closely related research areas aresometimes largely disjoint leaving potential reciprocal benefits unused.  To address these potentials a workshop on Triangulations was held atOberwolfach Research Institute in 2012. Since then many new collaborationsbetween researchers of different mathematical communities have beenestablished. Regarding the computational geometry community, the theory ofmanifolds continues to contribute to advances in more applied areas of thefield. Many researchers are interested in fundamental mathematical researchabout triangulations and thus will benefit from a broad set of knowledge aboutdifferent research areas using different techniques.  We hope that this workshop brought together researchers from many differentfields of computational geometry to have fruitful discussions which will leadto new interdisciplinary collaborations and solutions.

Collection of abstracts of the Workshop on Triangulations in Geometry and Topology at CG Week 2014 in Kyoto