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COHOMOLOGY OF TWISTED POLYNOMIAL SUPERFUNCTORS THROUGH THE TWISTING SPECTRAL SEQUENCE
- Part of
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- Journal:
- Journal of the Australian Mathematical Society / Volume 120 / Issue 1 / February 2026
- Published online by Cambridge University Press:
- 09 January 2026, pp. 78-106
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- Article
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We want to compute generic
$\mathrm {Ext}$-spaces of twisted polynomial functors in relation to the 
$\mathrm {Ext}$-spaces of the untwisted ones. We are able to conjecture a direct formula that is suggestively similar to the one known for ungraded functors. Thanks to the study of a spectral sequence, we get to a total computation in low degrees, with remarkable consequences at the level of generic cohomology. Moreover, a partial computation in all degrees proves the inclusion of a big direct summand and the existence of a suggestive universal class.
