Modular operads of embedded curves

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KONDO S., Siegel C., Wolfson J.

GEOMETRY & TOPOLOGY, vol.21, no.2, pp.903-922, 2017 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 21 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.2140/gt.2017.21.903
  • Journal Name: GEOMETRY & TOPOLOGY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.903-922
  • Middle East Technical University Northern Cyprus Campus Affiliated: No

Abstract

For each k >= 5, we construct a modular operad (epsilon) over bar (k) of "k-log-canonically embedded" curves. We also construct, for k >= 2, a stable cyclic operad (epsilon) over bar (k)(c) of such curves, and, for k >= 1, a cyclic operad (epsilon) over bar (k)(0,c) of "k-log-canonically embedded" rational curves.