Chiara Pagani

IT University of Copenhagen, København, Capital Region, Denmark

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Publications (2)2.97 Total impact

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    ABSTRACT: We construct $\theta$-deformations of the classical groups SL(2,H) and Sp(2). Coacting on the basic instanton on a noncommutative four-sphere $S^4_\theta$, we construct a noncommutative family of instantons of charge 1. The family is parametrized by the quantum quotient of $SL_\theta(2,H)$ by $Sp_\theta(2)$.
    International Mathematics Research Notices 11/2007; DOI:10.1093/imrn/rnn038 · 1.07 Impact Factor
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    Giovanni Landi, Chiara Pagani, Cesare Reina
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    ABSTRACT: We construct a quantum version of the SU(2) Hopf bundle $S^7 \to S^4$. The quantum sphere $S^7_q$ arises from the symplectic group $Sp_q(2)$ and a quantum 4-sphere $S^4_q$ is obtained via a suitable self-adjoint idempotent $p$ whose entries generate the algebra $A(S^4_q)$ of polynomial functions over it. This projection determines a deformation of an (anti-)instanton bundle over the classical sphere $S^4$. We compute the fundamental $K$-homology class of $S^4_q$ and pair it with the class of $p$ in the $K$-theory getting the value -1 for the topological charge. There is a right coaction of $SU_q(2)$ on $S^7_q$ such that the algebra $A(S^7_q)$ is a non trivial quantum principal bundle over $A(S^4_q)$ with structure quantum group $A(SU_q(2))$. Comment: 27 pages. Latex. v2 several substantial changes and improvements; to appear in CMP
    Communications in Mathematical Physics 07/2004; 263(1). DOI:10.1007/s00220-005-1494-3 · 1.90 Impact Factor

Publication Stats

28 Citations
2.97 Total Impact Points

Institutions

  • 2007
    • IT University of Copenhagen
      København, Capital Region, Denmark
  • 2004
    • Scuola Internazionale Superiore di Studi Avanzati di Trieste
      Trst, Friuli Venezia Giulia, Italy