Introduction; Part 1. Review of spectral invariants: Hamiltonian Floer-Novikov complex; Floer boundary map; Spectral invariants; Part 2. Bulk deformations of Hamiltonian Floer homology and spectral invariants: Big quantum cohomology ring: review; Hamiltonian Floer homology with bulk deformations; Spectral invariants with bulk deformation; Proof of the spectrality axiom; Proof of $C^0$-Hamiltonian continuity; Proof of homotopy invariance; Proof of the triangle inequality; Proofs of other axioms; Part 3. Quasi-states and quasi-morphisms via spectral invariants with bulk: Partial symplectic quasi-states; Construction by spectral invariant with bulk; Poincare duality and spectral invariant; Construction of quasi-morphisms via spectral invariant with bulk; Part 4. Spectral invariants and Lagrangian Floer theory: Operator $\mathfrak q$; review; Criterion for heaviness of Lagrangian submanifolds; Linear independence of quasi-morphisms; Part 5. Applications: Lagrangian Floer theory of toric fibers: review; Spectral invariants and quasi-morphisms for toric manifolds; Lagrangian tori in $k$-points blow up of $\mathbb {C}P^2$ ($k\ge 2$); Lagrangian tori in $S^2 \times S^2$; Lagrangian tori in the cubic surface; Detecting spectral invariant via Hochschild cohomology; Part 6. Appendix: $\mathcal {P}_{(H_\chi,J_\chi ),\ast }^{\mathfrak b}$ is an isomorphism; Independence on the de Rham representative of $\mathfrak b$; Proof of Proposition 20.7; Seidel homomorphism with bulk; Spectral invariants and Seidel homomorphism; Part 7.

Kuranishi structure and its CF-perturbation: summary: Kuranishi structure and good coordinate system; Strongly smooth map and fiber product; CF perturbation and integration along the fiber; Stokes' theorem; Composition formula; Bibliography; Index.