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Some Results on Vertex-Minimal Triangulations of Manifolds

Balagopalan, SoniaNational University of Ireland Maynooth2014

… on vertex-minimal (simplicial) triangulations of manifolds. We are interested in triangulations that have nice geometric and combinatorial properties. In the first chapter, we list some defnitions used throughout the thesis. In the second chapter, we give an elementary construction of the Witt …

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Deformations of Cayley submanifolds

Ohst, MatthiasUniversity of Cambridge2016

Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in Kähler manifolds. More generally, Cayley submanifolds are 4-dimensional submanifolds which may be defined in an 8-manifold …

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A Comparison Theorem for the Topological and Algebraic Classification of Quaternionic Toric 8-Manifolds

Runge, Piotr

utahstate Repository record for A Comparison Theorem for the Topological and Algebraic Classification of Quaternionic Toric 8-Manifolds (opens in a new tab)