2n1dimensional

2n1dimensional is not a standard term in mathematics or physics. It appears to be either a typographical variant of 2n+1 dimensional or 2n−1 dimensional, or a shorthand used in a specific work. In the absence of context, the term is ambiguous.

If interpreted as 2n+1 dimensional, it would refer to a manifold or space that locally requires 2n+1 real coordinates to describe a point. Odd-dimensional spaces are common in various theories; for example, Chern-Simons gauge theories are defined in odd dimensions such as 3, 5, and 7, and certain gravitational theories are formulated specifically in odd-dimensional spacetimes. The precise properties of a 2n+1 dimensional space depend on its geometric structure—such as its metric, curvature, and topological invariants—which determine phenomena like parallel transport, volumes, and integration on the manifold.

If interpreted as 2n−1 dimensional, the term could refer to a space whose dimension is one less than a 2n-dimensional bulk, a situation familiar in boundary or holographic contexts where a boundary theory lives on a 2n−1 dimensional manifold.

To resolve the meaning, it is best to consult the surrounding text or the field in which the term appears. If you provide the context, such as the discipline, a source, or a link, I can offer a more precise and tailored explanation.