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math.DG — Differential Geometry

Gysin Sequences in Supergeometry

Contributed by Sebastian Denton

We study spectral sequences in supergeometry and construct the Gysin sequence within the supermanifold framework. First, the foundational definitions are established and utilized to develop differential forms and de Rham cohomology on supermanifolds. We then apply a standard de Rham-to-Cech cohomology isomorphism to assemble a spectral sequence that accounts for the ˇ Z2-graded nature of supermanifolds. Finally, we explore additional properties arising from this construction, leading directly into Gysin sequences.

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Primarily human-written textHuman understanding: some partsSupergeometry

Nov 12, 20268 pages

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