STRING(c) STRUCTURES AND MODULAR INVARIANTS

STRING(c) STRUCTURES AND MODULAR INVARIANTS

In this paper, we study some algebraic topology aspects of String(c) structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of Spin(c)(n). We also extend the generalized Witten genera constructed for the first time by Chen et al. [J. Differential Ge...

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Veröffentlicht in:Transactions of the American Mathematical Society 2021-05, Vol.374 (5), p.3491-3533
Hauptverfasser: Huang, Ruizhi, Han, Fei, Duan, Haibao
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Physical Sciences
Science & Technology
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Zusammenfassung:In this paper, we study some algebraic topology aspects of String(c) structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of 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 Stringe structures of various levels and give vanishing results for them.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/8311