Topology of Singular Spaces and Constructible Sheaves

By Jörg Schürmann. 2004

256 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/56d36d8f7ebed7fb80c4678dbc2772eeecb4cabf

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Citations in the corpus

Singular Intersection Homology (2020, background): “• Adam Parusiński, Characteristic classes of singular varieties [182] • Jörg Schürmann, Lectures on characteristic classes of constructible functions [202] • Jörg Schürmann, Nearby cycles and characteristic classes of singular spaces [203] • Jörg Schürmann and Shoji Yokura A survey of characteristic”
Characteristic classes of mixed Hodge modules (2009, background): “The underlying theory of constructible and perverse sheaves can be found in [7, 30, 47 ].”
A survey of characteristic classes of singular spaces (2005, background): “f∗(α) is again constructible) and functorial requires, for example, stratification theory (see [Mac1]) or a suitabl e theory of constructible sheaves (see [ Sch3 ]).”
Higher topological complexity and its symmetrization (2010, background): “ellular Stratifications There have been several attempts at weakening the conditions for CW complexes in order to handle spaces with a more general type of decomposition into cells. Schurmann’s book [Sc03] is a good example of such an investigation. This section contains our proposal for such a goal”
Hodge genera of algebraic varieties I (2006, unknown): “(e.g. compare [[25], p. 77], [[ 34 ], Lemma 3.3.1])”
Intersection homology and Alexander modules of hypersurface complements (2004, background): “2) In contrast, if the stalks of the local system L are torsion modules, and X is affine algebraic of complex dimension n, then IHn (X,L) is also a torsion module ([37], Corollary 6.”
Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants (2010, background): “[43], [53]) says that that the shifted functor of vanishing cycles commutes with the external products.”
A theory of generalized Donaldson–Thomas invariants (2008, background): “A survey paper on the subject is Massey [76], and three books are Kashiwara and Schapira [57], Dimca [18], and Schürmann [93].”
The perverse filtration and the Lefschetz Hyperplane Theorem (2008, background): “Deligne’s and Beilinson’s proofs are also valid in the étale case; see also [23], pp.”
Symmetries and stabilization for sheaves of vanishing cycles (2012, background): “Hodge modules on singular spaces are defined, similarly to D-modules, via embeddings into smooth varieties; see Saito [46] and also Maxim, Saito and Schürmann [38, 1.8].”