Applications of braid group techniques to the decomposition of moduli spaces, new examples

A. Robb, M. Teicher

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Every smooth minimal complex algebraic surface of general type, X, may be mapped into a moduli space, Mc12(X),c2(X), of minimal surfaces of general type, all of which have the same Chern numbers. Using the braid group and braid monodromy, we construct infinitely many new examples of pairs of minimal surfaces of general type which have the same Chern numbers and nonisomorphic fundamental groups. Unlike previous examples, our results include X for which |π1(X)| is arbitrarily large. Moreover, the surfaces are of positive signature. This supports our goal of using the braid group and fundamental groups to decompose Mc12(X),c2(X) into connected components.

Original languageEnglish
Pages (from-to)143-151
Number of pages9
JournalTopology and its Applications
Volume78
Issue number1-2
DOIs
StatePublished - 1997

Keywords

  • Algebraic surfaces
  • Fundamental groups
  • Moduli spaces

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