Eight papers from a May 2018 workshop in Essen, Germany explain refined enumerative geometry as a technique for enriching the understanding of solutions to geometric problems. Instead of a mere integer counting such solutions, they say, this approach produces a class in the Grothendieck-Witt ring of quadratic forms over a field, whose dimension is the integer that classical enumerative geometry provides. Their topics include the homotopy Leray spectral sequence, examples of wild ramification in an enriched Riemann-Hurwitz formula, Chow-Witt rings of split quadratics, and remarks on motivic Moore spectra. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
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