Homological Cryptography

Homological Cryptography is a novel cryptographic framework that leverages topological invariants, particularly homology and cohomology classes, as the foundation for secure encryption, computation, and protocol design. Unlike traditional cryptographic systems that rely on number theory (e.g., RSA) or lattice problems (e.g., LWE), HC encodes secrets in the topological features of combinatorial structures like simplicial complexes—specifically in "holes," or non-bounding cycles.