arXiv Open Access 2022

Moduli of representations of one-point extensions

Arif Dönmez Markus Reineke

Lihat Sumber

Abstrak

We study moduli spaces of (semi-)stable representations of one-point extensions of quivers by rigid representations. This class of moduli spaces unifies Grassmannians of subrepresentations of rigid representations and moduli spaces of representations of generalized Kronecker quivers. With homological methods, we find numerical criteria for non-emptiness and results on basic geometric properties, construct generating semi-invariants, expand the Gel'fand MacPherson correspondence, and derive a formula for the Poincare polynomial in singular cohomology of these moduli spaces.

Topik & Kata Kunci

math.RT math.AG

Penulis (2)

Arif Dönmez

Markus Reineke

Format Sitasi

APA MLA BibTeX

Dönmez, A., Reineke, M. (2022). Moduli of representations of one-point extensions. https://arxiv.org/abs/2207.11139

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓