nLab Arun Debray

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• GoogleScholar entry

• inSpire page

Selected writings

On the Furuta-Bauer invariant lifting Seiberg-Witten invariants to (equivariant) stable homotopy groups of spheres:

On pinᶜ bordism:

• Arun Debray: Furuta’s $10/8$ Theorem (2019) [pdf, pdf]

• Arun Debray: Fun with $E(1)$-modules: A computation of pinᶜ bordism (2020) [pdf, pdf]

On Whitehead-generalized differential cohomology via sheaves of spectra:

• Araminta Amabel, Arun Debray, Peter J. Haine (eds.), Differential Cohomology: Categories, Characteristic Classes, and Connections. Based on Fall 2019 talks at MIT’s Juvitop seminar by: A. Amabel, D. Chua, A. Debray, S. Devalapurkar, D. Freed, P. Haine, M. Hopkins, G. Parker, C. Reid, and A. Zhang. (arXiv:2109.12250)

On differential cohomology in mathematical physics:

• Arun Debray, Differential Cohomology, in Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2312.14338]

On a variant of the string orientation of tmf for the case of with level structure and possible relation to the DMW anomaly and type IIA string theory:

• Arun Debray, Matthew Yu: Type IIA String Theory and tmf with Level Structure [arXiv:2411.07299]

On the swampland cobordism conjecture:

• Arun Debray, Markus Dierigl, Jonathan J. Heckman, Miguel Montero: The Chronicles of IIBordia: Dualities, Bordisms, and the Swampland [arXiv:2302.00007]

  (in the context of type IIB string theory)

• Noah Braeger, Arun Debray, Markus Dierigl, Jonathan J. Heckman, Miguel Montero, Cobordism Utopia: U-Dualities, Bordisms, and the Swampland [arXiv:2505.15885]

On symmetry protected topological phases via invertible field theory:

• Omar Antolín Camarena, Arun Debray, Cameron Krulewski, Natalia Pacheco-Tallaj, Daniel Sheinbaum, Luuk Stehouwer: Weak topological phases in the presence of interactions [arXiv:2410.10031]

• Arun Debray, Cameron Krulewski, Luuk Stehouwer: Unraveling the Bott spiral [arXiv:2605.00316]

category: people