2002/05/13 by Vassily Gorbounov, V. Gorbounov, Gorbounov, V. +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Combinatorics #Computer science #Equivariant map #FOS: Mathematics #Geometry #Loop (graph theory) #Loop space #Mathematics #Nonlinear Waves and Solitons #Philosophy #Property (philosophy) #Pure mathematics #Signature (topology) #Space (punctuation) #Toric variety #Variety (cybernetics) #math.AT
paper · pdf · doi:10.48550/arxiv.math/0205132
12 pages, amstex
arxiv created 2002/05/13 · openalex publication_date 2002/05/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.