scientific article

zbMath1284.58001MaRDI QIDQ2855814

Bernhelm Booss-Bavnbek, David D. Bleecker

Publication date: 22 October 2013

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

manifolds\(K\)-theoryFredholm operatorsSeiberg-Witten theorypseudo-differential operatorsAtiyah-Singer index theoremheat kernel method

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Elliptic equations on manifolds, general theory (58J05) (Semi-) Fredholm operators; index theories (47A53) Index theory and related fixed-point theorems on manifolds (58J20) Applications of global analysis to structures on manifolds (57R57) Pseudodifferential and Fourier integral operators on manifolds (58J40) Exotic index theories on manifolds (58J22) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Topological charge conservation for continuous insulators ⋮ Non-commutative Chern numbers for generic aperiodic discrete systems ⋮ On the index of pseudo-differential operators on compact Lie groups ⋮ An infinite dimensional version of the intermediate value theorem ⋮ The Baum–Connes conjecture: an extended survey ⋮ Continuous Fredholm theory, regularities and semiregularities ⋮ The Maslov Index in Symplectic Banach Spaces ⋮ A new approach in index theory ⋮ Atiyah–Patodi–Singer index theorem for domain walls ⋮ Quaternionic Dirac oscillator

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