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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeAug 30th 2020

added pointer to the original article:

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeAug 31st 2020

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeAug 31st 2020

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeAug 31st 2020

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeSep 3rd 2020

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeJul 25th 2021

added references for twists in degree 1 and for twists in degree higher than 3

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeAug 19th 2021

am adding references (here) on 3-twisted de Rham cohomology generalized to equivariance/orbifolds

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeAug 19th 2021

started some lines on the definition of equivariant twisted de Rham cohomology according to Tu&Xu and others (here).

It’s telegraphic for the moment, since first I wrote out some technical preliminaries (here) which made me run out of steam here.

More later.

• CommentRowNumber9.
• CommentAuthorUrs
• CommentTimeAug 20th 2021

I have added (here) some more lead-in words for the equivariant case (but still thin) and then I started to spell out (here) detail/proof for the claims implicit in FHT 07, (3.5).

(What I don’t see yet is how to prove that the action of $\pi_1$ on the cohomology of the fiber is trivial, so that their Serre spectral sequence really applies – have left a comment on this here.)

• CommentRowNumber10.
• CommentAuthorDmitri Pavlov
• CommentTimeSep 28th 2021

A spectral sequence for twisted de Rham cohomology is discussed in

• Weiping Li, Xiugui Liu, He Wang, On a spectral sequence for twisted cohomologies, arXiv:0911.1417.
• CommentRowNumber11.
• CommentAuthorUrs
• CommentTimeSep 29th 2021