THE BRST OPERATOR OF QUANTUM SYMMETRIES - THE QUANTUM ANALOGS OF DONALDSON INVARIANTS

Authors
HAMMOU AB LAGRAA M
Citation
Ab. Hammou et M. Lagraa, THE BRST OPERATOR OF QUANTUM SYMMETRIES - THE QUANTUM ANALOGS OF DONALDSON INVARIANTS, Journal of mathematical physics, 38(9), 1997, pp. 4462-4473
Citations number
30
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
9
Year of publication
1997
Pages
4462 - 4473
Database
ISI
SICI code
0022-2488(1997)38:9<4462:TBOOQS>2.0.ZU;2-C
Abstract
We construct the BRST operator of quantum symmetries and show that the nilpotency of this operator can either be derived from the Hopf axiom structure of the quantum group symmetries or from the Jacobi identity of their quantum Lie algebra. We extend this BRST operator to the top ological transformations and we investigate the propel-ties of invaria nt polynomials of curvatures from which we derive the descent equation s for Donaldson invariants. (C) 1997 American Institute of Physics.