2006/07/31 by V. Uma, Uma, V.
Mathematics · #13F55 #55N15 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.AC #math.AT #msc:13F55 #msc:55N15
paper · pdf · doi:10.48550/arxiv.math/0607804
5 pages
arxiv created 2006/07/31 · openalex publication_date 2006/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The \it torus manifolds have been defined and studied by M. Masuda and T. Panov (arXiv:math.AT/0306100) who in particular describe its cohomology ring structure. In this note we shall describe the topological K-ring of a class of torus manifolds (those for which the orbit space under the action of the compact torus is a \it homology polytope whose \it nerve is a shellable simplicial complex) in terms of generators and relations. Since these torus manifolds include the class of quasi-toric manifolds this is a generalisation of earlier results due to the author and P. Sankaran (arXiv: math.AG/0504107).