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Cubic forms, anomaly cancellation and modularity

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1 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

The values of cubic forms at prime arguments

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1 Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2017.05.014

Abstract: Abstract Let λ 1 , λ 2 , λ 3 , λ 4 , λ 5 be non-zero real numbers, not all negative. Let V be a well-spaced sequence, δ > 0 . If λ… read more here.

Keywords: prime arguments; cubic forms; forms prime; values cubic ... See more keywords

Equivariant -modules on binary cubic forms

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0 Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1492590

Abstract: Abstract We consider the space of binary cubic forms, equipped with the natural action of the group GL2 of invertible linear transformations of We describe explicitly the category of GL2-equivariant coherent -modules as the category… read more here.

Keywords: cubic forms; equivariant modules; binary cubic; modules binary ... See more keywords