I am looking for the canonical perspective on the Hodge star operator. I want to see it done properly, not using basis for its definition, saying clearly what we assume in its definition. Unfortunately I cannot find it in Bourbaki or Lang, could someone point me to another canonical reference? I am looking for a linear algebra perspective of course.


closed as too broad by Michael Albanese, user91500, Clayton, yoknapatawpha, Asaf Karagila Jul 30 '15 at 16:23

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • 1
    $\begingroup$ Have a look on Wikipedia? $\endgroup$ – user151873 May 19 '14 at 20:40
  • $\begingroup$ are you kidding me? this is close to trolling $\endgroup$ – user88576 May 19 '14 at 20:41
  • $\begingroup$ I mean for references. Or I have not understood your question. $\endgroup$ – user151873 May 19 '14 at 20:55
  • $\begingroup$ you can see in : Green, M. L., Murre, J. P., Voisin, C., Albano, A., & Bardelli, F. (1994). Algebraic cycles and Hodge theory: lectures given at the 2nd session of the Centro internazionale matematico estivo (CIME) held in Torino, Italy, June 21-29, 1993 (Vol. 1594). Springer Science & Business Media. $\endgroup$ – Hamza Jul 30 '15 at 16:58
  • $\begingroup$ Or in the excellent book : Jost, J. (2008). Riemannian geometry and geometric analysis. Springer Science & Business Media. $\endgroup$ – Hamza Jul 30 '15 at 17:00