String^{𝑐} structures and modular invariants | Zendy

Ruizhi Huang | Zendy; Fei Han | Zendy; Haibao Duan | Zendy

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String^{𝑐} structures and modular invariants

Author(s) -

Ruizhi Huang,

Fei Han,

Haibao Duan

Publication year - 2020

Publication title -

transactions of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.798

H-Index - 100

eISSN - 1088-6850

pISSN - 0002-9947

DOI - 10.1090/tran/8311

Subject(s) - mathematics , modular design , pure mathematics , string (physics) , algebra over a field , programming language , mathematical physics , computer science

In this paper, we study some algebraic topology aspects of String c ^c structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of S p i n c ( n ) Spin^c(n) . We also extend the generalized Witten genera constructed for the first time by Chen et al. [J. Differential Geom. 88 (2011), pp. 1–40] to correspond to String c ^c structures of various levels and give vanishing results for them.

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