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- Section: Introduction
- Introduction

- Section: AMM Models
- Section: AMM Mathematics
- General AMM Mathematics
- Key concepts
- The micro economics of the price response function
- Demand and supply curves in microeconomics
- Supply and demand curves in financial markets
- Supply and demand curves in market making
- Aggregating PRFs
- Optimal routing

- AMM characteristic functions
- Scaling symmetry
- Transformations
- Conditions characteristic functions must satisfy

- The mathematics of multi-asset pools
- Definitions
- Consistency and geometry

- AMMs and financial derivatives
- Black Scholes and derivatives pricing
- Calls, puts and European profile matching
- The strike density function and the Cash Gamma

- Power law profiles under Black Scholes
- Analysing the constant product AMM as a financial derivative

- Mathematics of specific AMMs
- Constant product (k=x*y)
- Constant sum (k=x+y)
- Concentrated, range-bound and levered liquidity
- Range-bound liquidity
- Concentrated and levered liquidity
- Divergence loss with concentrated liquidity

- Modified weights
- Modified curve aka (2 token) stableswap
- Dynamic Chi

- Time varying curve
- [Mooniswap]
- Multi asset
- Equal weights
- Variable weights

- General AMM Mathematics
- Section: AMM Economics
- Section: AMM Regulations
- Section: AMM Eco System
- Section: Conclusion
- Section: References
- Glossary
- General Glossary
- Mathematical Glossary

- Protocols
- Formulas

- Glossary