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Edward Witten works on theoretical physics and its connections with geometry and topology. His Institute for Advanced Study profile identifies the researcher.^[ref]

His Monopoles and Four-Manifolds by Edward Witten used ideas from supersymmetric gauge theory to introduce a new description of smooth four-manifold invariants. The Seiberg–Witten equations replace a nonabelian instanton-counting problem with equations involving an Abelian gauge field and a spinor. The contribution demonstrates how a physical dual description can reveal a more tractable mathematical structure.^[ref]

By Edward Witten. Mathematical Research Letters 1 (1994), 769–796. Author preprint: arxiv.org/abs/hep-th/9411102

Locator: §2, equations, moduli spaces and invariants.