Stringc structures and modular invariants.

In this paper, we study some algebraic topology aspects of Stringc structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of Spinc(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 Stringc structures of various levels and give vanishing results for them. [ABSTRACT FROM AUTHOR]