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Department of Pure Mathematics and Mathematical Statistics

Research Interests: Measuring coalgebras give a good and entirely algebraic method of recovering many of the structures of differential topology, such as tangent spaces, connections and bundles. Since the construction is entirely algebraic, this has allowed extension of differential topological constructions to settings where the point set approach to manifolds breaks down, as occurs, for example, in supersymmetric theories. It allows also for a geometric interpretation of algebraic constructions.

Publications

In search of the graded manifold of maps between graded manifolds
M Batchelor
(1988)
311,
62
GRADED MANIFOLDS AND PAIRS
M BATCHELOR
– LECT NOTES MATH
(1987)
1251,
65
Graded manifolds and vector bundles: A functorial correspondence
M BATCHELOR
– Journal of Mathematical Physics
(1985)
26,
1578
Graded manifolds and supermanifolds
M Batchelor
(1984)
132,
91
2 APPROACHES TO SUPER-MANIFOLDS
M BATCHELOR
– Transactions of the American Mathematical Society
(1980)
258,
257
Two approaches to supermanifolds
M Batchelor
– Transactions of the American Mathematical Society
(1980)
258,
257
STRUCTURE OF SUPER-MANIFOLDS
M BATCHELOR
– T AM MATH SOC
(1979)
253,
329
A decomposition theorem for comodules
M Batchelor
– Compositio Mathematica
(1977)
34,
141
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Room

D1.12

Telephone

01223 337954