Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated just now
PreprintCC BY 4.0arXiv

Mumford--Morita--Miller classes in generalised cohomology theories

  • Oscar Randal-Williams
Open at sourcePDFDOICite

Abstract

The Mumford--Morita--Miller classes on the moduli space of Riemann surfaces may be defined not only in ordinary cohomology but in any complex-oriented cohomology theory. We begin their investigation, emphasising the new phenomena that arise.

Related

  1. The Morita classes are nonzero
    Alexander Kupers, Jeremy Miller, Peter Patzt
    arXivPreprintCC BY-NC-ND 4.0Full textAlgebra & number theoryGeometry & topologyarXiv
  2. Braided cohomology of quasi-triangular bialgebras and braided Morita invariance
    Shota Inoue, Ayako Itaba
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. Process matrices on generalised theories
    Matt Wilson, James Hefford, Timothée Hoffreumon
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryQuantum physics & quantum informationarXiv
  4. On the Cohomology Classes of Certain Eisenstein-Kronecker Forms
    Zhixuan Sheng, Jie Zhou
    arXivPreprintarXiv licenceFull textAlgebra & number theoryAnalysis & PDEsarXiv
  5. Big and nef cohomology classes on compact Kähler spaces
    Duc-Viet Vu
    arXivPreprintarXiv licenceFull textAlgebra & number theoryAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{randalwilliams2026mumfordmoritamiller,
  title = {{Mumford--Morita--Miller classes in generalised cohomology theories}},
  author = {Oscar Randal-Williams},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01888},
  eprint = {2610.01888},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01888},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Mumford--Morita--Miller classes in generalised cohomology theories
AU  - Oscar Randal-Williams
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01888
UR  - https://arxiv.org/abs/2610.01888
AB  - The Mumford--Morita--Miller classes on the moduli space of Riemann surfaces may be defined not only in ordinary cohomology but in any complex-oriented cohomology theory. We begin their investigation, emphasising the new phenomena that arise.
ER  -