Banagl, Markus; Wrazidlo, Dominik J. The uniqueness theorem for Gysin coherent characteristic classes of singular spaces. (English) Zbl 07808996 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12823, 45 p. (2024). MSC: 57R20 55R12 55N33 57N80 32S60 32S20 14M15 14C17 57R40 32S50 PDFBibTeX XMLCite \textit{M. Banagl} and \textit{D. J. Wrazidlo}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12823, 45 p. (2024; Zbl 07808996) Full Text: DOI arXiv OA License
Banagl, Markus; Schürmann, Jörg; Wrazidlo, Dominik J. Topological Gysin Coherence for Algebraic Characteristic Classes of Singular Spaces. arXiv:2310.15042 Preprint, arXiv:2310.15042 [math.AG] (2023). MSC: 57R20 55R12 55N33 57N80 32S60 32S20 14M15 14C17 32S50 BibTeX Cite \textit{M. Banagl} et al., ``Topological Gysin Coherence for Algebraic Characteristic Classes of Singular Spaces'', Preprint, arXiv:2310.15042 [math.AG] (2023) Full Text: arXiv OA License
Banagl, Markus Transfer and the Spectrum-Level Siegel-Sullivan KO-Orientation for Singular Spaces. arXiv:2305.06045 Preprint, arXiv:2305.06045 [math.AT] (2023). MSC: 55N33 55R12 55N15 19L41 57Q20 57R20 57N80 BibTeX Cite \textit{M. Banagl}, ``Transfer and the Spectrum-Level Siegel-Sullivan KO-Orientation for Singular Spaces'', Preprint, arXiv:2305.06045 [math.AT] (2023) Full Text: arXiv OA License
Banagl, Markus Bundle Transfer of L-Homology Orientation Classes for Singular Spaces. arXiv:2210.05432 Preprint, arXiv:2210.05432 [math.AT] (2022). MSC: 55R12 55N33 57R20 57N80 57Q20 57Q50 BibTeX Cite \textit{M. Banagl}, ``Bundle Transfer of L-Homology Orientation Classes for Singular Spaces'', Preprint, arXiv:2210.05432 [math.AT] (2022) Full Text: arXiv OA License
Rieck, Bastian; Banagl, Markus; Sadlo, Filip; Leitte, Heike Persistent intersection homology for the analysis of discrete data. (English) Zbl 1475.55006 Carr, Hamish (ed.) et al., Topological methods in data analysis and visualization V. Theory, algorithms, and applications. Selected papers based on the presentations at the TopoInVis workshop, Tokyo, Japan, February 27–28, 2017. Cham: Springer. Math. Vis., 37-51 (2020). Reviewer: Ran Levi (Aberdeen) MSC: 55N31 55N33 PDFBibTeX XMLCite \textit{B. Rieck} et al., in: Topological methods in data analysis and visualization V. Theory, algorithms, and applications. Selected papers based on the presentations at the TopoInVis workshop, Tokyo, Japan, February 27--28, 2017. Cham: Springer. 37--51 (2020; Zbl 1475.55006) Full Text: DOI arXiv
Banagl, Markus Gysin restriction of topological and Hodge-theoretic characteristic classes for singular spaces. (English) Zbl 1480.57034 New York J. Math. 26, 1273-1337 (2020). Reviewer: Alice Kimie Miwa Libardi (São Paulo) MSC: 57R20 55N33 57N80 32S60 32S20 55R12 PDFBibTeX XMLCite \textit{M. Banagl}, New York J. Math. 26, 1273--1337 (2020; Zbl 1480.57034) Full Text: arXiv Link
Banagl, Markus; Mäder, Tim; Sadlo, Filip Stratified Formal Deformations and Intersection Homology of Data Point Clouds. arXiv:2005.11985 Preprint, arXiv:2005.11985 [math.AT] (2020). MSC: 55N33 68-XX BibTeX Cite \textit{M. Banagl} et al., ``Stratified Formal Deformations and Intersection Homology of Data Point Clouds'', Preprint, arXiv:2005.11985 [math.AT] (2020) Full Text: arXiv OA License
Banagl, Markus; Hunsicker, Eugénie Hodge theory for intersection space cohomology. (English) Zbl 1441.55004 Geom. Topol. 23, No. 5, 2165-2225 (2019). Reviewer: Greg Friedman (Fort Worth) MSC: 55N33 58A14 PDFBibTeX XMLCite \textit{M. Banagl} and \textit{E. Hunsicker}, Geom. Topol. 23, No. 5, 2165--2225 (2019; Zbl 1441.55004) Full Text: DOI arXiv
Banagl, Markus Topological and Hodge L-classes of singular covering spaces and varieties with trivial canonical class. (English) Zbl 1459.57031 Geom. Dedicata 199, 189-224 (2019). Reviewer: Daniel Tanré (Villeneuve d’Ascq) MSC: 57R20 55N33 32S60 14J17 14J30 14E20 PDFBibTeX XMLCite \textit{M. Banagl}, Geom. Dedicata 199, 189--224 (2019; Zbl 1459.57031) Full Text: DOI arXiv
Banagl, Markus; Laures, Gerd; McClure, James E. The \(L\)-homology fundamental class for IP-spaces and the stratified Novikov conjecture. (English) Zbl 1416.55001 Sel. Math., New Ser. 25, No. 1, Paper No. 7, 104 p. (2019). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 55N33 57R67 57R20 57N80 19G24 PDFBibTeX XMLCite \textit{M. Banagl} et al., Sel. Math., New Ser. 25, No. 1, Paper No. 7, 104 p. (2019; Zbl 1416.55001) Full Text: DOI arXiv
Banagl, Markus; Chriestenson, Bryce Intersection spaces, equivariant Moore approximation and the signature. (English) Zbl 1394.55006 J. Singul. 16, 141-179 (2017). Reviewer: Beatrice Bleile (Armidale) MSC: 55N33 57P10 55R10 55R70 PDFBibTeX XMLCite \textit{M. Banagl} and \textit{B. Chriestenson}, J. Singul. 16, 141--179 (2017; Zbl 1394.55006) Full Text: DOI arXiv
Albin, Pierre; Banagl, Markus; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo Refined intersection homology on non-Witt spaces. (English) Zbl 1316.55002 J. Topol. Anal. 7, No. 1, 105-133 (2015). Reviewer: Thomas Schick (Göttingen) MSC: 55N33 32S60 57N80 58A35 PDFBibTeX XMLCite \textit{P. Albin} et al., J. Topol. Anal. 7, No. 1, 105--133 (2015; Zbl 1316.55002) Full Text: DOI arXiv
Banagl, Markus Isometric group actions and the cohomology of flat fiber bundles. (English) Zbl 1275.55008 Groups Geom. Dyn. 7, No. 2, 293-321 (2013). Reviewer: Andrew Bucki (Edmond) MSC: 55R20 55R70 55N91 PDFBibTeX XMLCite \textit{M. Banagl}, Groups Geom. Dyn. 7, No. 2, 293--321 (2013; Zbl 1275.55008) Full Text: DOI arXiv
Banagl, Markus First cases of intersection spaces in stratification depth 2. (English) Zbl 1292.55002 J. Singul. 5, 57-84 (2012). MSC: 55N33 57P10 PDFBibTeX XMLCite \textit{M. Banagl}, J. Singul. 5, 57--84 (2012; Zbl 1292.55002) Full Text: DOI Link
Banagl, Markus; Maxim, Laurentiu Intersection spaces and hypersurface singularities. (English) Zbl 1292.32017 J. Singul. 5, 48-56 (2012). MSC: 32S30 32S55 55N33 57P10 32S35 14J33 PDFBibTeX XMLCite \textit{M. Banagl} and \textit{L. Maxim}, J. Singul. 5, 48--56 (2012; Zbl 1292.32017) Full Text: DOI Link
Banagl, Markus; Maxim, Laurentiu Deformation of singularities and the homology of intersection spaces. (English) Zbl 1269.32017 J. Topol. Anal. 4, No. 4, 413-448 (2012). Reviewer: Jan Stevens (Göteborg) MSC: 32S30 55N33 14J33 PDFBibTeX XMLCite \textit{M. Banagl} and \textit{L. Maxim}, J. Topol. Anal. 4, No. 4, 413--448 (2012; Zbl 1269.32017) Full Text: DOI arXiv
Banagl, Markus (ed.); Bunke, Ulrich (ed.); Weinberger, Shmuel (ed.) Stratified spaces: joining analysis, topology and geometry. Abstracts from the workshop held December 11–17, 2011. (English) Zbl 1349.00051 Oberwolfach Rep. 8, No. 4, 3217-3286 (2011). MSC: 00B05 00B25 57-06 57N80 58A35 32S60 55N33 57R20 PDFBibTeX XMLCite \textit{M. Banagl} (ed.) et al., Oberwolfach Rep. 8, No. 4, 3217--3286 (2011; Zbl 1349.00051) Full Text: DOI
Banagl, Markus The signature of singular spaces and its refinements to generalized homology theories. (English) Zbl 1236.55001 Friedman, Greg (ed.) et al., Topology of stratified spaces. Based on lectures given at the workshop, Berkeley, CA, USA, September 8–12, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-19167-8/hbk). Mathematical Sciences Research Institute Publications 58, 223-249 (2011). MSC: 55-02 57-02 57N80 55N33 57R20 32S60 PDFBibTeX XMLCite \textit{M. Banagl}, Math. Sci. Res. Inst. Publ. 58, 223--249 (2011; Zbl 1236.55001)
Banagl, Markus; Cappell, Sylvain E.; Shaneson, Julius L. Knots, singular embeddings, and monodromy. (English) Zbl 1225.57005 Banagl, Markus (ed.) et al., The mathematics of knots. Theory and application. Berlin: Springer (ISBN 978-3-642-15636-6/hbk; 978-3-642-15637-3/ebook). Contributions in Mathematical and Computational Sciences 1, 1-30 (2011). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 57Q45 55N33 PDFBibTeX XMLCite \textit{M. Banagl} et al., Contrib. Math. Comput. Sci. 1, 1--30 (2011; Zbl 1225.57005) Full Text: DOI
Banagl, Markus Intersection spaces, spatial homology truncation, and string theory. (English) Zbl 1219.55001 Lecture Notes in Mathematics 1997. Dordrecht: Springer (ISBN 978-3-642-12588-1/pbk; 978-3-642-12589-8/ebook). xvi, 217 p. (2010). Reviewer: Bruce Hughes (Nashville) MSC: 55-02 57-02 81T30 55N33 57P10 14J17 55P30 55S36 14J32 14J33 PDFBibTeX XMLCite \textit{M. Banagl}, Intersection spaces, spatial homology truncation, and string theory. Dordrecht: Springer (2010; Zbl 1219.55001) Full Text: DOI
Banagl, Markus Rational generalized intersection homology theories. (English) Zbl 1200.55009 Homology Homotopy Appl. 12, No. 1, 157-185 (2010). Reviewer: Jonathan Hodgson (Philadelphia) MSC: 55N33 55N20 55P42 PDFBibTeX XMLCite \textit{M. Banagl}, Homology Homotopy Appl. 12, No. 1, 157--185 (2010; Zbl 1200.55009) Full Text: DOI Link
Banagl, Markus Singular spaces and generalized Poincaré complexes. (English) Zbl 1215.55003 Electron. Res. Announc. Math. Sci. 16, 63-73 (2009). Reviewer: Bruce Hughes (Nashville) MSC: 55N33 57P10 81T30 14J32 55P30 55S36 PDFBibTeX XMLCite \textit{M. Banagl}, Electron. Res. Announc. Math. Sci. 16, 63--73 (2009; Zbl 1215.55003) Full Text: DOI
Banagl, Markus The signature of partially defined local coefficient systems. (English) Zbl 1165.32013 J. Knot Theory Ramifications 17, No. 12, 1455-1481 (2008). Reviewer: Daciberg Gonçalves (São Paulo) MSC: 32S60 55N33 57N25 32Q40 PDFBibTeX XMLCite \textit{M. Banagl}, J. Knot Theory Ramifications 17, No. 12, 1455--1481 (2008; Zbl 1165.32013) Full Text: DOI
Banagl, Markus Topological invariants of stratified spaces. (English) Zbl 1108.55001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 3-540-38585-1/hbk). xii, 259 p. (2007). Reviewer: Gheorghe Pitiş (Braşov) MSC: 55-02 55N33 57N80 PDFBibTeX XMLCite \textit{M. Banagl}, Topological invariants of stratified spaces. Berlin: Springer (2007; Zbl 1108.55001)
Banagl, Markus The L-class of non-Witt spaces. (English) Zbl 1101.57013 Ann. Math. (2) 163, No. 3, 743-766 (2006). Reviewer: R. E. Stong (Charlottesville) MSC: 57R20 57N80 32S60 55N33 PDFBibTeX XMLCite \textit{M. Banagl}, Ann. Math. (2) 163, No. 3, 743--766 (2006; Zbl 1101.57013) Full Text: DOI
Banagl, Markus Computing twisted signatures and \(L\)-classes of non-Witt spaces. (English) Zbl 1089.57018 Proc. Lond. Math. Soc., III. Ser. 92, No. 2, 428-470 (2006). Reviewer: Július Korbaš (Bratislava) MSC: 57R20 55N33 57N80 PDFBibTeX XMLCite \textit{M. Banagl}, Proc. Lond. Math. Soc. (3) 92, No. 2, 428--470 (2006; Zbl 1089.57018) Full Text: DOI
Banagl, Markus On topological invariants of stratified maps with non-Witt target. (English) Zbl 1094.57025 Trans. Am. Math. Soc. 358, No. 5, 1921-1935 (2006). Reviewer: Jonathan Hodgson (Philadelphia) MSC: 57R20 55N33 57N80 32S60 PDFBibTeX XMLCite \textit{M. Banagl}, Trans. Am. Math. Soc. 358, No. 5, 1921--1935 (2006; Zbl 1094.57025) Full Text: DOI
Banagl, Markus; Cappell, Sylvain E.; Shaneson, Julius L. Computing twisted signatures and \(L\)-classes of stratified spaces. (English) Zbl 1034.32021 Math. Ann. 326, No. 3, 589-623 (2003). Reviewer: Bruce Hughes (Nashville) MSC: 32S50 32S60 55N25 55N33 55R55 57N80 57R20 57R45 58A35 58K10 PDFBibTeX XMLCite \textit{M. Banagl} et al., Math. Ann. 326, No. 3, 589--623 (2003; Zbl 1034.32021) Full Text: DOI
Banagl, Markus Extending intersection homology type invariants to non-Witt spaces. (English) Zbl 1030.55005 Mem. Am. Math. Soc. 760, 83 p. (2002). Reviewer: Bruce Hughes (Nashville) MSC: 55N33 57N80 57R20 32S60 57Q50 PDFBibTeX XMLCite \textit{M. Banagl}, Extending intersection homology type invariants to non-Witt spaces. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1030.55005) Full Text: DOI