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math.AT2021
Elliptic genus and string cobordism at dimension
Fei Han, Ruizhi Huang
It is known that spin cobordism can be determined by Stiefel-Whitney numbers and index theory invariants, namely -theoretic Pontryagin numbers. In this paper, we show that stri…
math.AT2021
Twisted Milnor Hypersurface I
Jingfang Lian, Fei Han, Hao Li +1
In this paper, we study {\bf twisted Milnor hypersurfaces} and compute their -genus and Atiyah-Singer-Milnor -invariant. Our tool to compute the -invariant is Zhang's…
math.AT2021★ 3 cited
On characteristic numbers of dimensional String manifolds
Fei Han, Ruizhi Huang
In this paper, we study the Pontryagin numbers of dimensional String manifolds. In particular, we find representatives of an integral basis of the String cobrodism group at di…