Morse Theory
Critical points, handle decompositions, and Morse homology.
Morse Theory. Critical points, handle decompositions, and Morse homology.
Foundations and canonical references
The standard treatments of morse theory approach the subject from complementary angles. Milnor, Morse Theory (1963) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for morse theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1963Morse Theorymilnor-1963
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