Algebraic and Geometric Surgery

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Metrics of positive scalar curvature and generalised Morse functions, part I (2008, background): “ary where the attachment took place). Topologically, X′ is quite diﬀerent from the 20 manifold X. It is well known that the topology of X′ depends on the embedding i and the choice of framing ¯i, see [23] for details. In the case when i embeds a sphere of dimension p we will describe a surgery on th”
Mapping Surgery to Analysis III: Exact Sequences (2004, background): “The reader may consult Wall’s book [21], or more recent expositions such as [17,22], for further information about the following notions.”
Surface code quantum computing by lattice surgery (2011, methodology): “The methods proposed here break from this by introducing discontinuous deformations of the lattice, analogous to the operations of surface surgery in geometric topology (see for example [28]).”
K-Homology, Assembly and Rigidity Theorems for Relative Eta Invariants (2010, unknown): “· · · // K0(Bπ) μ // K0(C ∗(π)) // S1(π) // K1(Bπ) μ // K1(C ∗(π)) // · · · , and are so named because they are C∗-algebra K-theory counterparts of the structure groups in surgery theory [36, 33].”
Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of non-rigidity of manifolds (2013, background): “M , is an orientation-preserving homotopy equivalence; see Ranicki [20].”