Luke Hodgkin | King's College London (original) (raw)

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Papers by Luke Hodgkin

Research paper thumbnail of On the K-theory of Lie groups

Research paper thumbnail of The K-theory of Eilenberg-MacLane complexes

Topology, Jan 1, 1968

A is free over Z,,,, this limit sequence can be written O~K*(Y;Z,)+K*(X;Z,)-Q*(X;Z~)@~.

Research paper thumbnail of The equivariant Künneth theorem in K-theory

Topics in K-Theory, Jan 1, 1975

Part II * K~nneth Formula General Theory of the KG. w The existence of K~nneth spaces ........ ..... more Part II * K~nneth Formula General Theory of the KG. w The existence of K~nneth spaces ........ ............ 53 ... This book is an improved and much expanded version of a long unavailable University of Warwick preprint (An Equivariant Kunneth Formula in K-theory, Warwick 1967; referred ...

Research paper thumbnail of The K-theory of some well-known spaces--I. QS

Research paper thumbnail of A direct calculation of super-Teichmüller space

letters in mathematical physics, Jan 1, 1987

A method of finding the moduli space of de Witt super-Riemann surfaces in any genus is described.... more A method of finding the moduli space of de Witt super-Riemann surfaces in any genus is described. The approach is to use cohomology to compute the homomorphisms from the surface group into the superconformal group; it turns out that this is a simpler problem, with a smaller class of solutions than had been suspected. The description of super-Telchmtiller space as a complex supermamfold is confirmed.

Research paper thumbnail of A history of mathematics: from Mesopotamia to modernity

Research paper thumbnail of Problems of fields on super Riemann surfaces

Journal of Geometry and Physics, Jan 1, 1989

Supercon.formal fields of type k on a compact superR.iemann surface are defined and studied. It i... more Supercon.formal fields of type k on a compact superR.iemann surface are defined and studied. It is shown that if there are non-trivial fermionic moduli~the space of such fields can behave in a highly anomalous way; with a module s~uctwe which depends strongly on the moduli. (This will onlyhappen for -1~k < 2, but this includes the case of superscalar fields.) The proofc are explicit for genus 1, the actual spaces of fields being computed; and implicit forhigher genus, via a spectral sequence. The implications for superstring theory are indicated.

Research paper thumbnail of Politics and physical sciences'

Radical Science Journal, Jan 1, 1976

Research paper thumbnail of Super-Beltrami differentials

Classical and Quantum Gravity, Jan 1, 1989

... Home Search Collections Journals About Contact us My IOPscience Page 2. Class. Quantum Grav. ... more ... Home Search Collections Journals About Contact us My IOPscience Page 2. Class. Quantum Grav. 6 (1989) 1725-1738. Printed in the UK Super-Beltrami differentials Luke Hodgkin King&#x27;s College (KQC), Strand, London WC2R 2LS, UK Received 11 May 1989 Abstract. ...

Research paper thumbnail of Mathematics and revolution from Lacroix to Cauchy

Social History of Nineteenth …, Jan 1, 1981

Research paper thumbnail of On the K-theory of Lie groups

Research paper thumbnail of The K-theory of Eilenberg-MacLane complexes

Topology, Jan 1, 1968

A is free over Z,,,, this limit sequence can be written O~K*(Y;Z,)+K*(X;Z,)-Q*(X;Z~)@~.

Research paper thumbnail of The equivariant Künneth theorem in K-theory

Topics in K-Theory, Jan 1, 1975

Part II * K~nneth Formula General Theory of the KG. w The existence of K~nneth spaces ........ ..... more Part II * K~nneth Formula General Theory of the KG. w The existence of K~nneth spaces ........ ............ 53 ... This book is an improved and much expanded version of a long unavailable University of Warwick preprint (An Equivariant Kunneth Formula in K-theory, Warwick 1967; referred ...

Research paper thumbnail of The K-theory of some well-known spaces--I. QS

Research paper thumbnail of A direct calculation of super-Teichmüller space

letters in mathematical physics, Jan 1, 1987

A method of finding the moduli space of de Witt super-Riemann surfaces in any genus is described.... more A method of finding the moduli space of de Witt super-Riemann surfaces in any genus is described. The approach is to use cohomology to compute the homomorphisms from the surface group into the superconformal group; it turns out that this is a simpler problem, with a smaller class of solutions than had been suspected. The description of super-Telchmtiller space as a complex supermamfold is confirmed.

Research paper thumbnail of A history of mathematics: from Mesopotamia to modernity

Research paper thumbnail of Problems of fields on super Riemann surfaces

Journal of Geometry and Physics, Jan 1, 1989

Supercon.formal fields of type k on a compact superR.iemann surface are defined and studied. It i... more Supercon.formal fields of type k on a compact superR.iemann surface are defined and studied. It is shown that if there are non-trivial fermionic moduli~the space of such fields can behave in a highly anomalous way; with a module s~uctwe which depends strongly on the moduli. (This will onlyhappen for -1~k < 2, but this includes the case of superscalar fields.) The proofc are explicit for genus 1, the actual spaces of fields being computed; and implicit forhigher genus, via a spectral sequence. The implications for superstring theory are indicated.

Research paper thumbnail of Politics and physical sciences'

Radical Science Journal, Jan 1, 1976

Research paper thumbnail of Super-Beltrami differentials

Classical and Quantum Gravity, Jan 1, 1989

... Home Search Collections Journals About Contact us My IOPscience Page 2. Class. Quantum Grav. ... more ... Home Search Collections Journals About Contact us My IOPscience Page 2. Class. Quantum Grav. 6 (1989) 1725-1738. Printed in the UK Super-Beltrami differentials Luke Hodgkin King&#x27;s College (KQC), Strand, London WC2R 2LS, UK Received 11 May 1989 Abstract. ...

Research paper thumbnail of Mathematics and revolution from Lacroix to Cauchy

Social History of Nineteenth …, Jan 1, 1981

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