Equivariant cohomology of certain moduli of weighted pointed rational curves

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• 作者：Chitrabhanu Chaudhuri
• 刊名：manuscripta mathematica
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：150
• 期：1-2
• 页码：137-150
• 全文大小：440 KB
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  4.Chaudhuri, C.: Topological Bounds on Certain Open Subvarieties of the Compactfied Moduli Space of Curves. ProQuest LLC, Ann Arbor, MI. Thesis (Ph.D.), Northwestern University (2013)
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  7.Hassett B.: Moduli spaces of weighted pointed stable curves. Adv. Math. 173(2), 316–352 (2003)MathSciNet CrossRef MATH
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  11.Stembridge, J.: The SF package. http://​www.​math.​lsa.​umich.​edu/​~jrs/​maple.​html . A Maple package to do symbolic calculations with symmetric functions
  
• 作者单位：Chitrabhanu Chaudhuri (1)
  
  1. Indian Institute of Science Education and Research Pune, Pune, Maharashtra, India
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebraic Geometry
  Topological Groups and Lie Groups
  Geometry
  Number Theory
  Calculus of Variations and Optimal Control
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1785

文摘

We determine the action of the product of symmetric groups on the cohomology of certain moduli of weighted pointed rational curves. The moduli spaces that we study are of stable rational curves with m + n marked points where the first m marked points are distinct from all the others where as the last n may coincide among themselves. We give a recipe for calculating the equivariant Poincaré polynomials and list them for small m and n.