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Generalized Lantern Relations and Planar Line Arrangements
Generalized Lantern Relations Planar Line Arrangements Geometric Topology
2011/8/24
Abstract: In this paper we show that to each planar line arrangement defined over the real numbers, for which no two lines are parallel, one can write down a corresponding relation on Dehn twists that...
Kreck-Stolz invariants for quaternionic line bundles
invariant quaternionic line bundle 7-manifold smooth structure
2011/2/25
We generalise the Kreck-Stolz invariants s2 and s3 by defining a new invariant, the t-invariant, for quaternionic line bundles over closed spinmanifolds M of dimension 4k − 1 with H3(M;Q) = H4(M...
Reduction of Singularities of Three-Dimensional Line Foliations
Singularities of Three-Dimensional Line Foliations
2010/12/1
We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of ...