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On the Cohomology Classes of Certain Eisenstein-Kronecker Forms

  • Zhixuan Sheng
  • Jie Zhou
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Abstract

We study the de Rham cohomology and Deligne splitting for a class of Eisenstein-Kronecker forms by introducing a modular weight grading. As an application, we compute a particular cohomology class that gives rise to generating series of Gromov-Witten invariants of elliptic curves.

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Cite

BibTeXRIS
BibTeX
@misc{sheng2026cohomology,
  title = {{On the Cohomology Classes of Certain Eisenstein-Kronecker Forms}},
  author = {Zhixuan Sheng and Jie Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13581},
  eprint = {2610.13581},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13581},
}
RIS
TY  - UNPB
TI  - On the Cohomology Classes of Certain Eisenstein-Kronecker Forms
AU  - Zhixuan Sheng
AU  - Jie Zhou
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13581
UR  - https://arxiv.org/abs/2610.13581
AB  - We study the de Rham cohomology and Deligne splitting for a class of Eisenstein-Kronecker forms by introducing a modular weight grading. As an application, we compute a particular cohomology class that gives rise to generating series of Gromov-Witten invariants of elliptic curves.
ER  -