The authors define real bordered Heegaard Floer modules that satisfy a pairing theorem and yield a practical algorithm for computing real Heegaard Floer homology of 3-manifolds with connected fixed set under involution.
Monopole Floer homology and real structures.arXiv preprint arXiv:2211.10768, 2022
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Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.
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Real bordered Floer homology
The authors define real bordered Heegaard Floer modules that satisfy a pairing theorem and yield a practical algorithm for computing real Heegaard Floer homology of 3-manifolds with connected fixed set under involution.
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Multi-framed real monopole Floer theory
Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.
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