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University of Massachusetts Amherst

Mathematics and Statistics Department Faculty Publication Series

2006

Compactifications of configuration spaces

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Geometry Of The Tetrahedron Space, E Babson, Pe Gunnells, R Scott Jan 2006

Geometry Of The Tetrahedron Space, E Babson, Pe Gunnells, R Scott

Mathematics and Statistics Department Faculty Publication Series

Let X be the space of all labeled tetrahedra in . In [E. Babson, P.E. Gunnells, R. Scott, A smooth space of tetrahedra, Adv. Math. 165(2) (2002) 285–312] we constructed a smooth symmetric compactification of X. In this article we show that the complement is a divisor with normal crossings, and we compute the cohomology ring .