Analogues of Mathai–Quillen forms in sheaf cohomology and applications to topological field theory |
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Institution: | 1. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Uttar Pradesh 211019, India;2. Department of Physics, Robeson Hall, 0435, Virginia Tech, Blacksburg, VA 24061, USA |
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Abstract: | We construct sheaf-cohomological analogues of Mathai–Quillen forms, that is, holomorphic bundle-valued differential forms whose cohomology classes are independent of certain deformations, and which are believed to possess Thom-like properties. Ordinary Mathai–Quillen forms are special cases of these constructions, as we discuss. These sheaf-theoretic variations arise physically in A/2 and B/2 model pseudo-topological field theories, and we comment on their origin and role. |
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Keywords: | Mathai–Quillen forms Thom representatives Sheaf cohomology Topological field theory |
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