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, Volume 113, Issue 3, pp 359–370 | Cite as

The chiral de rham complex and positivity of the equivariant signatures of some loop spaces

  • V. GorbounovEmail author
  • F. Malikov


In this note we show that the positivity property of the equivariant signature of the loop space, first observed in [MS1] in the case of the even-dimensional projective spaces, is valid for Picard number 2 toric varieties. A new formula for the equivariant signature of the loop space in the case of a toric spin variety is derived.


Projective Space Toric Variety Positivity Property Loop Space Spin Variety 
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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Mathematics DepartmentUniversity of KentuckyUSA

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