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papers/lux-market-nft/sections/03-multi-chain-architecture.tex
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\section{Multi-Chain Architecture}
\subsection{Supported Networks}
Lux.market supports multi-chain coverage:
\begin{table}[h]
\centering
\begin{tabular}{|l|l|c|c|}
\hline
\textbf{Network} & \textbf{Native Currency} & \textbf{TVL Support} & \textbf{Bridge} \\
\hline
Ethereum & ETH & Full & Native \\
Polygon & MATIC & Full & M-Chain \\
Arbitrum & ETH & Full & M-Chain \\
Optimism & ETH & Full & M-Chain \\
BSC & BNB & Full & M-Chain \\
Avalanche & AVAX & Full & Native \\
Base & ETH & Full & M-Chain \\
Zora & ETH & Partial & M-Chain \\
Linea & ETH & Partial & M-Chain \\
zkSync & ETH & Partial & M-Chain \\
Polygon zkEVM & ETH & Partial & M-Chain \\
Scroll & ETH & Partial & M-Chain \\
Arbitrum Nova & ETH & Partial & M-Chain \\
Ancient8 Testnet & ETH & Test & Test Bridge \\
\hline
\end{tabular}
\caption{Multi-chain network support matrix}
\end{table}
\subsection{Cross-Chain NFT Transfers}
Cross-chain transfers utilize the M-Chain bridge infrastructure:
\begin{equation}
T_{cross} = Lock_{source} \rightarrow Mint_{destination}
\end{equation}
with atomic execution guaranteed through:
\begin{equation}
\text{Atomic}(T) = \begin{cases}
Complete & \text{if } Verify(Lock) \land Verify(Mint) \\
Revert & \text{otherwise}
\end{cases}
\end{equation}
\subsection{Chain-Agnostic User Experience}
The platform implements chain abstraction through:
\begin{enumerate}
\item \textbf{Unified Balance}: Aggregate wallet balance across chains
\item \textbf{Auto-Routing}: Automatic selection of optimal chain for transactions
\item \textbf{Gas Abstraction}: Payment in any supported token
\item \textbf{Background Bridging}: Automatic bridging for cross-chain operations
\end{enumerate}