Families of Supermanifolds: Splitting Types and Obstruction Maps

Kowshik Bettadapura

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arXiv · 1906.02391

Families of Supermanifolds: Splitting Types and Obstruction Maps

Kowshik Bettadapura

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Abstract

In this article we study the notion of supermanifolds families, starting from Green's general classification of supermanifolds. The topics studied divide this article into two distinct parts, labelled I and II respectively. Part I concerns the splitting type of a supermanifold and our attempt to construct variations thereof. In Part II we look at a particular class of families, referred to as `$gtm$-families'. We are concerned with the notion of a `secondary obstruction theory', which is apparent in any $gtm$-family of supermanifolds over a (connected and Stein) non-reduced, superspace base.

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BibTeX RIS

Kowshik Bettadapura. 2019-06-06. Families of Supermanifolds: Splitting Types and Obstruction Maps. https://arxiv.org/abs/1906.02391

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