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math-ph2016★ 11 cited
Obstructed Thickenings and Supermanifolds
Kowshik Bettadapura
Associated to any supermanifold is a filtration by spaces, referred to as thickenings. It is the objective of this article to study them up to a certain equivalence and then up to…
math-ph2015
Superconformal Structures and the Superparticle on the Complex Projective Line
Kowshik Bettadapura
In this paper the notion of a superconformal structure on a supermanifold is introduced in an effort to study the superparticle sigma-model. There are, in particular, two main aspe…