Stability conditions on higher dimensional varieties and moduli spaces
On the quiver descriptions of Hilbert and Quot schemes and beyond
Study of the expression of genes related with the antiviral response in the caterp...
| Full text | |
| Author(s): |
Tacchella, Alberto
[1]
Total Authors: 1
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| Affiliation: | [1] Univ Sao Paulo, ICMC, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 93, p. 11-32, JUL 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
We introduce a family of quivers Z(r) (labeled by a natural number r >= 1) and study the non-commutative symplectic geometry of the corresponding doubles Q(r). We show that the group of non-commutative symplectomorphisms of the path algebra CQ(r) contains two copies of the group GL(r) over a ring of polynomials in one indeterminate, and that a particular subgroup P-r (which contains both of these copies) acts on the completion e(n,r) of the phase space of the n-particles, rank r Gibbons-Hermsen integrable system and connects each pair of points belonging to a certain dense open subset of e(n,r). This generalizes some known results for the cases r = 1 and r = 2. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 11/09782-6 - Gibbons-Hermsen varieties and noncommutative geometry |
| Grantee: | Alberto Tacchella |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |