Cubic forms, anomaly cancellation and modularity
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.108023
Abstract: Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin$^c$, spin$^{w_2}$ and orientable 12-manifolds respectively. We relate them to $\eta$-invariants when the manifolds are with… read more here.
Keywords: cancellation modularity; anomaly cancellation; cubic forms; spin spin ... See more keywords
From the signature theorem to anomaly cancellation
Sign Up to like & getrecommendations! Published in 2020 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2020.50.181
Abstract: We survey the Hirzebruch signature theorem as a special case of the Atiyah-Singer index theorem. The family version of the Atiyah-Singer index theorem in the form of the Riemann-Roch-Grothendieck-Quillen (RRGQ) formula is then applied to… read more here.
Keywords: signature; signature theorem; theorem anomaly; anomaly cancellation ... See more keywords