Prof. Dr. Ulrich Koschorke
Publications
- Coincidences and secondary Nielsen numbers
J. Fixed Point Theory Appl. 17 (2015): pdf - Nielsen coincidence numbers, Hopf invariants and spherical space forms
Alg. Geom. Topology 14 (2014), 1541-1575: pdf - with D. Goncalves, A. Libardi and O. Neto, Coincidences of fiberwise maps between sphere bundles over the circle
Proc. Edinburgh Math. Soc. 57 (2013), 1-23 - with D. Randall, Kervaire Invariants and Selfcoincidences
Geometry and Topology 17 (2013), 621-638 : pdf - China im Wandel -- Wechsel zur Weltmacht Nr. 1?
Diagonal (Zeitschrift der Universität Siegen) 33 (2012), 151-154: pdf - Nielsen numbers in topological coincidence theory.
Topology and its Appl. 159 (2012), 3786-3796: pdf - Minimum numbers and Wecken theorems in topological coincidence theory. I
J. Fixed Point Theory Appl. 10,1 (2011), 3-36: pdf - Fixed Points and Coincidences in Torus Bundles
J. of Topology and Analysis Vol. 3, No.2 (2011), 177-212: pdf - Reidemeister coincidence invariants of fiberwise maps
Topology and its Applications 157 (2010), 1849-1858: pdf - with D. Goncalves, Nielsen Coincidence Theory of Fibre-Preserving Maps and Dold's Fixed Point Index
Topological Methods in Nonlinear Analysis, Journal of the Juliusz Schauder Center Vol. 33 (2009), 85-103: pdf - Some Homotopy Theoretical Questions Arising in Nielsen Coincidence Theory
Proceedings of the Postnikov Memorial Conference 2007 in Bedlewo, Banach Center Publications Vol. 85 (2009), 275-280: pdf - Minimizing Coincidence Numbers of Maps into Projective Spaces
Geometry & Topology Monographs 14 (2008), 373-391: pdf - Selfcoincidences and Roots in Nielsen Theory
J. Fixed Point Theory Applic. 2,2 (2007), 241-259: pdf - Coincidence Free Pairs of Maps
Proc. of the Winter School Geometry and Physics 2006, Archivum mathematicum (Brno) 42 supplement (2006), 105-117: pdf - Nonstabilized Nielsen Coincidence Invariants and Hopf-Ganea
Homomorphisms
Geometry and Topology 10 (2006), 619-666: pdf - Geometric and Homotopy Theoretic Methods in Nielsen Coincidence
Theory
Fixed Point Theory and Applications, Vol. 2006, Article ID 84093, pages 1-15: pdf - Nielsen Coincidence Theory in Arbitrary Codimensions
Journal für die reine und angewandte Mathematik, Vol. 598 (2006), 211-236: pdf - Coincidence Theory in Arbitrary Codimensions: the Minimizing
Problem
Oberwolfach Report (2004), Vol. 1, Heft 4, 2342-2344: pdf - Linking and Coincidence Invariants
Fundamenta Mathematicae 184 (2004), 187-203
available for download from ArXiv: Abstract , pdf (199 KB) , ps.gz (196 KB) - Selfcoincidences in Higher Codimensions
Journal für die reine und angewandte Mathematik, Vol. 576 (2004), 1-10: ps (360 KB) , pdf (135 KB) - Link Homotopy in Sn×Rm-n and Higher Order μ-invariants
Journal of Knot Theory and its Ramifications, Vol. 13, No. 7 (2004), 917-938: ps (925 KB) , pdf (270 KB) . - Link Maps in Arbitrary Manifolds and their Homotopy
Invariants
Journal of Knot Theory and its Ramifications, Vol. 12, No. 1 (2003), 79-104: ps (880 KB) , pdf (308 KB) - Antipodal Vector Bundle Monomorphisms
Israel Journal of Mathematics, Vol. 127 (2002), 29-59 - Homotopy Classification of Line Fields and Lorentz Metrics on
Closed Manifolds
Mathematical Proceedings of the Cambridge Phil. Soc., Vol. 132 (2002), 281-300. - (with M. H. de Paula Leite Mello and M. O. Marques da Silva)
Antipodal Vector Bundles and Low Dimensional Normal Bordism Theory
Proceedings of the XI Encontro Brasileiro de Topologia, World Scientific (2000), 65-79 - Complex and Real Vector Bundle Monomorphisms,
Topology and its Applications, Vol. 91 (1999), 259--271 - Nonstable and Stable Monomorphisms of Vector Bundles,
Topology and its Applications, Vol. 75 (1997), 261-286. - A Generalization of Milnor's μ-Invariants to
Higher-Dimensional Link Maps,
Topology, Vol. 36, No. 2 (1997), 301-324. - Bordism of Link Maps and Selfintersections,
Contemporary Mathematics, Vol. 164 (1994), 79-90. - Homotopy, Concordance and Bordism of Link Maps,
inGlobal Analysis in Modern Mathematics
, a symposium in honor of Richard Palais' 60th birthday, Publish or Perish, Inc., Houston/Texas, (1993), 283-299. - Geometric Link Homotopy Invariants,
Proc. International Conference on Knot Theory and Related Topics, Osaka 1990, Walter de Gruyter & Co, Berlin-New York, Knots 90 (1992), 117-124. - Belts and κ-Invariants of Link Maps in Spheres,
Manuscripta Math., Springer-Verlag, Vol. 76 (1992), 241-249. - (with Paul Kirk)
Generalized Seifert Surfaces and Linking Numbers,
Topology and its Applications, Vol. 42 (1991), 247-262. - Semicontractible Link Maps and their Suspensions,
Proceedings of the Poznan Topology Conference 1989, Lecture Notes in Mathematics, Springer-Verlag, Vol. 1474 (1991), 160-169. - Link Homotopy,
Proc. Natl. Acad. Sci. USA, Vol. 88 (1991), 268-270. - Link Homotopy with Many Components,
Topology 30 (1991), 267-282. - On Link Maps and their Homotopy Classification,
Math. Ann., 286 (1990), 753-782. -
Desuspending the α-Invariant of Link Maps,
Proc. Baku Topology Conference 1987, 9 pp., Stekhlov-Institute. - (with Dale Rolfsen)
Higher Dimensional Link Operations and Stable Homotopy,
Pacif. J. Math. 139 (1989), 87-106. - The Singularity Method and Immersions of m-Manifolds
into Manifolds of Dimensions 2m-2, 2m-3 and 2m-4,
Lecture Notes in Mathematics, Springer-Verlag, Vol. 1350 (1988), 188-212. - Multiple Point Invariants of Link Maps,
Lecture Notes in Mathematics, Springer-Verlag, Vol. 1350 (1988), 44-86. - Link Maps and the Geometry of their Invariants,
Manuscr. math. 61 (1988), 383-415. -
(with Julius Korbaš)
The Rank of Vector Fields on Grassmannian Manifolds,
Proceedings of the Cechoslovakian Winter School on Geometry and Physics 1987, Suppl. Rendic. Circ. Mat. Palermo II, 16 (1987), 113-119. - Higher Order Homotopy Invariants for Higher Dimensional
Link Maps,
Lecture Notes in Mathematics, Springer-Verlag, Vol. 1172 (1985), 116-129. -
The Span and the Stable Span of a Manifold,
Mat. Univ. Ant. Barcelona 26,3 (1982), 107-108. -
Vector Fields and Other Vector Bundle Morphisms -- a Singularity
Approach,
Lecture Notes in Mathematics, Springer-Verlag, Vol. 847 (1981), 304 pp. - Vector Fields on (4q+2)-Manifolds,
Proceedings of the Topology Symposium in Siegen 1979,
Lecture Notes in Mathematics, Springer-Verlag, Vol. 788 (1980), 99-108. - On the (n+1)-tuple Points of Immersed n-Spheres,
Proceedings of the Algebraic Topology Symposium in Aarhus 1978, Lecture Notes in Mathematics, Springer-Verlag, Vol. 763 (1979), 132-134. -
Was ist Topologie?
Siegener Hochschulblätter 2.1 (1979), 90-98. -
Multiple Points of Immersions, and the Kahn-Priddy-Theorem,
Math. Z. 169 (1979), 223-236. -
(with Brian Sanderson)
Self-Intersections and Higher Hopf Invariants,
Topology 17 (1978), 283-290. -
(with Brian Sanderson)
Geometric Interpretations of the Generalized Hopf Invariant,
Math. Scand. 41 (1977), 199-217. -
Bordism of Plane Fields and of Foliations,
Atas do 9 Colóquio Brasileiro de Matemática, Poços de Caldas 9 A, 28 de Julho de 1973, 311-320. -
Frame Fields and Non-Degenerate Singularities,
Bull. Amer. Math. Soc., 81 (1975), 157-160. -
Line Fields Transversal to Foliations,
Proc. Symp. Pure Math., Vol. 27, Amer. Math. Soc., Providence, R.I., (1975), 295-301. -
Singularities and Bordism of q-plane Fields and
of Foliations,
Bull. Amer. Math. Soc., 80 (1974), 760-765. -
Concordance and Bordism of Line Fields,
Inventiones Math. 24 (1974), 241-268. -
Computation of Stable Disney-Type Cohomology Classes
on the Loop Space of the Unitary Group,
Notices Amer. Math. Soc. 18 (1971), 571. -
Pseudo-Compact Subsets of Infinite-Dimensional
Manifolds,
J. Diff. Geometry 5 (1971), 127-134. -
Infinite Dimensional K-Theory and Characteristic
Classes of Fredholm Bundle Maps,
Proc. Symp. Pure Math., Vol. 15, Amer. Math. Soc., Providence, R.I., (1970), 95-133.