Legendrian cobordism and Chern-Simons theory on 3-manifolds with boundary

DOI10.4310/CAG.1994.v2.n3.a1zbMath0854.58013MaRDI QIDQ1904283

Christopher M. Herald

Publication date: 4 November 1996

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Floer homologygauge theoryLagrangian manifoldsChern-Simons functionalLegendrian manifolds3-manifolds with boundaryLegendrian cobordismssymplectic and contact geometry

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Boundary value problems on manifolds (58J32) Other types of cobordism (57R90)

Related Items (15)

Rohlin's invariant and gauge theory. II: Mapping tori ⋮ The pillowcase and perturbations of traceless representations of knot groups ⋮ \(SU(2)\)-cyclic surgeries and the pillowcase ⋮ Integer homology 3-spheres admit irreducible representations in \(\mathrm{SL}(2,{\mathbb C})\) ⋮ Klein-four connections and the Casson invariant for nontrivial admissible \(U(2)\) bundles ⋮ A compactness theorem for \(SO(3)\) anti-self-dual equation with translation symmetry ⋮ The correspondence induced on the pillowcase by the earring tangle ⋮ Tangles, relative character varieties, and holonomy perturbed traceless flat moduli spaces ⋮ Traceless SU(2) representations of 2-stranded tangles ⋮ SEIBERG-WITTEN MODULI SPACES FOR 3-MANIFOLDS WITH CYLINDRICAL-END T²×R⁺ ⋮ Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations ⋮ A NOTE ON FUNDAMENTAL GROUPS OF SYMPLECTIC TORUS COMPLEMENTS IN 4-MANIFOLDS ⋮ Categorification of invariants in gauge theory and symplectic geometry ⋮ Rohlin's invariant and gauge theory III. Homology \(4\)--tori ⋮ Transversality for equivariant exact 1-forms and gauge theory on 3-manifolds

This page was built for publication: Legendrian cobordism and Chern-Simons theory on 3-manifolds with boundary