English

Boundary and Eisenstein Cohomology of $G_2(\mathbb{Z})$

Number Theory 2020-09-29 v1 Algebraic Geometry

Abstract

In this article, Eisenstein cohomology of the arithmetic group G2(Z)G_2(\mathbb{Z}) with coefficients in any finite dimensional highest weight irreducible representation has been determined. We accomplish this by studying the cohomology of the boundary of the Borel-Serre compactification.

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Cite

@article{arxiv.2009.13486,
  title  = {Boundary and Eisenstein Cohomology of $G_2(\mathbb{Z})$},
  author = {Jitendra Bajpai and Lifan Guan},
  journal= {arXiv preprint arXiv:2009.13486},
  year   = {2020}
}

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38 Pages