Books/Advanced Topics In Geometry

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[[Category:Books|Advanced Topics In Geometry]]
 
[[Category:Books|Advanced Topics In Geometry]]

Latest revision as of 11:12, 25 February 2017

Advanced Topics In Geometry[edit | edit source]

Spec and Proj
User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Introduction
User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Spec
User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Proj
User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Solution to exercises
Blow ups
User:LSGNT/Advanced Topics In Geometry/Blow ups/Introduction
User:LSGNT/Advanced Topics In Geometry/Blow ups/First Example: Blowing up C^2 at the origin
User:LSGNT/Advanced Topics In Geometry/Blow ups/Blowing up an affine variety along an ideal
User:LSGNT/Advanced Topics In Geometry/Blow ups/Blowing up a complex manifold
User:LSGNT/Advanced Topics In Geometry/Blow ups/Key examples
User:LSGNT/Advanced Topics In Geometry/Blow ups/The general definition
User:LSGNT/Advanced Topics In Geometry/Blow ups/Solution to exercises
Complex manifolds and the Kähler condition
User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Almost Complex structures
User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Integrability
User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/The Kähler Condition
User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Exercises
User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Solutions to exercises
Chern Classes
User:LSGNT/Advanced Topics In Geometry/Chern Classes/Introduction and Basic Definitions
User:LSGNT/Advanced Topics In Geometry/Chern Classes/Bundles on spheres
User:LSGNT/Advanced Topics In Geometry/Chern Classes/Chern classes as degeneracy loci of generic sections
User:LSGNT/Advanced Topics In Geometry/Chern Classes/Suggested Reading
User:LSGNT/Advanced Topics In Geometry/Chern Classes/Additional exercises
User:LSGNT/Advanced Topics In Geometry/Chern Classes/Solutions to exercises
Classifying spaces, equivariant cohomology and localisation
User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Classifying spaces
User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Equivariant cohomology
User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Localisation
User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Solutions to exercises
Symplectic reduction
User:LSGNT/Advanced Topics In Geometry/Symplectic reduction/Basic Symplectic Geometry
User:LSGNT/Advanced Topics In Geometry/Symplectic reduction/Hamiltonian group actions and moment maps
User:LSGNT/Advanced Topics In Geometry/Symplectic reduction/Symplectic reduction
Geometric Invariant Theory
User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Introduction
User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Reductive groups
User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Introduction and first examples
User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Quotients
User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/GIT in the projective setting
User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Solutions to exercises
Symplectic toric varieties
User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Introduction
User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Symplectic toric manifolds from polytopes
User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Another way to get toric symplectic manifolds
User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Where is the fan?
User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Toric blow-up
User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Solution to exercises
Lefschetz pencils in algebraic and symplectic geometry
User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Lefschetz hyperplane theorem
User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Local study of ordinary double points
User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Monodromy
User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Hard Lefschetz Theorem
Moduli Spaces and Stable Bundles
User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Introduction
User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Brief aside on schemes
User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Back to Moduli Spaces
User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Moduli Space of Bundles
Mixed Hodge Structures
User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Introduction
User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Linear Algebra and Hodge Theory
User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Mixed Hodge Structures
User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/The open smooth case
User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Applications
The Weil conjectures
User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Introduction
User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/The Weil conjectures
User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Introduction
User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Transfer
User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Counting Points
User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Zeta functions
User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/The Weil Conjectures
Atiyah-Singer Index theorem
User:LSGNT/Advanced Topics In Geometry/Atiyah-Singer Index theorem/K-theory
User:LSGNT/Advanced Topics In Geometry/Atiyah-Singer Index theorem/Fredholm Operators
User:LSGNT/Advanced Topics In Geometry/Atiyah-Singer Index theorem/The Atiyah-Singer Index formula (INCOMPLETE)
Tropical Curves
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Introduction
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Amoebas of Curves
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/The Graph of an Amoeba
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Corner Loci and Tropical Curves
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/The Tropical Semiring
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Weights and the Balancing Condition
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Degree and the Number of Tentacles
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Newton Polygons
User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Puiseux Series