Compactifications of reductive groups as moduli stacks of bundles

Autor(es)

Martens, Johan ^{[1, 2]} ; Thaddeus, Michael ^[3]

Afiliação do(s) autor(es)

^[1] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian - Scotland

^[2] Univ Edinburgh, Maxwell Inst, James Clerk Maxwell Bldg, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian - Scotland

^[3] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 - USA

• Tipo de documento: Artigo Científico
• Fonte: COMPOSITIO MATHEMATICA; v. 152, n. 1, p. 62-98, JAN 2016.
• Citações Web of Science: 5

Resumo

Let G be a split reductive group. We introduce the moduli problem of bundle chains parametrizing framed principal G-bundles on chains of lines. Any fan supported in a Weyl chamber determines a stability condition on bundle chains. Its moduli stack provides an equivariant toroidal compactification of G. All toric orbifolds may be thus obtained. Moreover, we get a canonical compactification of any semisimple G, which agrees with the wonderful compactification in the adjoint case, but which in other cases is an orbifold. Finally, we describe the connections with Losev-Manin's spaces of weighted pointed curves and with Kausz's compactification of GL(n). (AU)

• Processo FAPESP: 09/05136-2 - Fibrados de Higgs parabólicos sobre curvas
• Beneficiário: Johan André Katharina Karel Martens
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado