2020/03/04 by Jianbo Wang, Wang, Jianbo, Zhiwang Yu +3
Mathematics · #14M10 #57R20 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2003.02049
openalex publication_date 2020/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Following Brooks's calculation of the A-genus of complete intersections, a new and more computable formula about the A-genus and α-invariant will be described as polynomials of multi-degree and dimension. We also give an iterated formula of A-genus and the necessary and sufficient conditions for the vanishing of A-genus of complex even dimensional spin complete intersections. Finally, we obtain a general formula about the Hirzebruch genus of complete intersections, and calculate some classical Hirzebruch genera as examples.