diff --git a/6-differentiaforms.tex b/6-differentiaforms.tex index e7804ca..bee6a57 100644 --- a/6-differentiaforms.tex +++ b/6-differentiaforms.tex @@ -1,3 +1,4 @@ +\marginnote{There is a nice book by Guillemin and Haines which is all on differential forms \cite{book:guillemin-haine} and whose draft is freely available on the authors courses website.} In the rest of the course we will focus on a particular class of tensors, which generalizes the differential one-forms that we studied on the cotangent bundle. It should not be surprising then, that these will be called differential $k$-forms and that they will be alternating $(0,k)$-tensors, that is, skew-symmetric in all arguments. diff --git a/aom.bbl b/aom.bbl index 01e7c08..abfb885 100644 --- a/aom.bbl +++ b/aom.bbl @@ -153,10 +153,10 @@ \field{title}{Differentiable manifolds} \field{year}{2014} \verb{urlraw} - \verb https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf + \verb http://web.archive.org/web/20201111215108/https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf \endverb \verb{url} - \verb https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf + \verb http://web.archive.org/web/20201111215108/https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf \endverb \endentry \entry{book:knauf}{book}{} @@ -409,10 +409,10 @@ \field{title}{Mathematische Physik: Klassische Mechanik} \field{year}{2013} \verb{urlraw} - \verb https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf + \verb http://web.archive.org/web/20201111215028/https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf \endverb \verb{url} - \verb https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf + \verb http://web.archive.org/web/20201111215028/https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf \endverb \endentry \entry{book:thirring}{book}{} diff --git a/aom.bib b/aom.bib index 7ab9a2d..74dfef6 100644 --- a/aom.bib +++ b/aom.bib @@ -39,6 +39,16 @@ @book{book:bonfigliolifulci url = {https://link.springer.com/book/10.1007%2F978-3-642-22597-0} } +@book{book:guillemin-haine, + doi = {10.1142/11058}, + url = {http://web.archive.org/web/20200525224100/https://math.mit.edu/classes/18.952/2018SP/files/18.952_book.pdf}, + year = 2019, + month = {mar}, + publisher = {{WORLD} {SCIENTIFIC}}, + author = {Victor Guillemin and Peter Haine}, + title = {Differential Forms} +} + @book{book:knauf, title = {Mathematical physics: classical mechanics}, author = {Knauf, Andreas}, @@ -130,7 +140,7 @@ @misc{lectures:hitchin title = {Differentiable manifolds}, year = {2014}, note = {Unpublished lecture notes}, - url = {https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf} + url = {http://web.archive.org/web/20201111215108/https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf} } @misc{lectures:merry, @@ -146,5 +156,5 @@ @misc{lectures:teufel title = {Mathematische Physik: Klassische Mechanik}, year = {2013}, note = {Unpublished lecture notes}, - url = {https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf} + url = {http://web.archive.org/web/20201111215028/https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf} }