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20192026
most citedThe Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators

25 citations · 79 across the 20 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

hep-th2021★ 1 cited

A physicist-friendly reformulation of the mod-two Atiyah-Patodi-Singer index

Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4

Gauge anomaly in 4-dimensions can be viewed as a current inflow into an extra-dimension, where the total phase of the fermion partition function is given in a gauge invariant way b…

math.KT2021

Differential -theory via gradations and mass terms

Kiyonori Gomi, Mayuko Yamashita

We construct models of the differential -theory and the twisted differential -theory, by refining Karoubi's -theory [Kar78] in terms of gradations on Clifford modules.…

math.AT2021★ 7 cited

Differential models for the Anderson dual to bordism theories and invertible QFT's, II

Mayuko Yamashita

This is the second part of the work on differential models of the Anderson duals to the stable tangential -bordism theories , motivated by classifications of invertible QF…

hep-th2021★ 22 cited

Topological modular forms and the absence of all heterotic global anomalies

Yuji Tachikawa, Mayuko Yamashita

We reformulate the question of the absence of global anomalies of heterotic string theory mathematically in terms of a certain natural transformation $\mathrm{TMF}^\bullet\to (I_{\…

math.AT2021★ 6 cited

Differential models for the Anderson dual to bordism theories and invertible QFT's, I

Mayuko Yamashita, Kazuya Yonekura

In this paper, we construct new models for the Anderson duals to the stable tangential -bordism theories and their differential extensions. The cohomology theory $(IΩ…