Tibor Macko
Address: Mathematical
Institute
Slovak
Academy of Sciences
Stefanikova
49
814 73 Bratislava
Slovakia
Email: macko (at) mat (dot)
savba (dot) sk
Book project:
·
Diarmuid Crowley, Wolfgang Lueck, Tibor
Macko : Surgery Book
This
is a book project under construction. The chapters 1-9 are already in a
reasonable shape. The subsequent chapters are very preliminary. At the moment
the material is to be used at own risk. Comments are welcome per email to any
of us!
Preprint:
·
Diarmuid
Crowley and Tibor Macko:
On the cardinality of the manifold set, arXiv:1708.02089
Survey about topology of high-dimensional manifolds (in Slovak):
Topológia vysoko-rozmerných variet
Published papers:
·
Tibor
Macko:
The
block structure spaces of real projective spaces and orthogonal calculus of
functors
Transactions
of the American Mathematical Society, 359 (2007), no. 1, 349-383. arXiv:0404.5198
·
Joachim
Grunewald, John Klein, and Tibor Macko:
Operations on A-theoretic nil-terms
Journal
of Topology, Volume
1, Number 2, April 2008, 317-341. arXiv:0702.5580
·
Tibor
Macko and Michael Weiss:
The block structure spaces of real
projective spaces and orthogonal calculus of functors II
Forum Mathematicum 21 (2009), no. 6, 1091--1136 arXiv:0703.5303
·
Tibor
Macko and Christian Wegner:
On fake lens spaces with the fundamental group
of order a power of 2
Algebraic and Geometric Topology 9 (2009), no. 3, 1837—1883 arXiv:0805.0965
·
Diarmuid
Crowley and Tibor Macko:
The additivity of the rho-invariant and
periodicity in topological surgery
Algebraic and Geometric Topology 11 (2011), 1915–1959. arXiv:1002.1917
·
Tibor
Macko and Christian Wegner:
Forum
Math. 23 (2011), no. 5, 1053–1091, arXiv:0810.1196
·
Philipp
Kühl, Tibor Macko and Adam Mole:
The total surgery obstruction revisited
Münster
J. Math. 6 (2013), 181–269, arXiv:1104.5092
·
Tibor
Macko:
Fake lens spaces,
Bulletin of the Manifold Atlas, 2013
·
Spiros
Adams-Florou and Tibor Macko:
L-homology
on ball complexes and products
To
appear in Homology, Homotopy and Applications, arXiv:1611.04114
Teaching:
·
Diferenciálna
Topológia, FMFI UK
Past teaching:
WS 2014/15
·
Bachelorthemen:
Cliffordalgebren, Signatur
SS 2014
WS 2013/14:
·
Signature theorem,
S4D4, Organisational meeting 16.07.2013 at 10:15 in N0.003
(with Stefan Schwede)
·
Tutorials for Algebraic Topology I, V4D1, (with Christian Wegner)
SS 2013:
·
Characteristic classes, S2D2/S4D2, Organisational meeting 31.01.2013,
12:10-13:00, Room 2.008
(with Wolfgang Lück)
·
Übungen zu Topologie II, V3D2, (with Wolfgang Lück)
WS 2012/13:
·
Cohomology of groups, S4D2, Mi
10-12, Raum 1.007 (with Carl-Friedrich Bödigheimer)
·
Übungen zu Topologie I, V3D1, (with Wolfgang Lück)
SS 2012:
·
Coxeter Gruppen, S1G1, Mo 14-16, Raum 1.007 (with Martin Langer)
·
Charakteristische Klassen, S2D2, Do 10-12, Raum 0.003 (with Carl-Friedrich Bödigheimer)
SS 2012 Bachelorarbeitthemen:
WS 2011/12:
·
The
Steenrod Algebra, WS 2011/12, Tue 14-16, Room 0.006 (with Steffen Sagave)
·
Topologische K-Theorie, WS 2011/12, Do 8-10, Raum 0.007 (with Carl-Friedrich Bödigheimer)
SS 2011:
·
Charakteristische Klassen, SS 2011, Bonn, Dienstag, 14:15 - 16:00,
Raum 1.007 (with Christian Wegner)
·
Probleme der euklidischen Geometrie, SS 2011, Bonn, Mo 14 (c.t.) - 16 MATH /
N 0.007 (with Martin Langer)
WS 2009/10 (Münster):
·
Was ist … seminar?, WS 2009/10, Mon
16:00-18:00, SR 7 (with Arthur Bartels)
·
Der
Index-Satz von Atiyah-Singer Seminar, WS 2009/10, Die 14:00-16:00, SR 5 (with Roman Sauer)
SS 2009 (Münster):
·
Reading seminar on algebraic surgery, SS
2009, Mon 16:00-18:00, SR 7 (with Arthur Bartels)
SS 2008 (Münster):
·
Introduction
to surgery theory, lecture, SS2008, Tue 10:00-12:00 , SR 5
Research Seminars:
·
Stable
parametrized h-cobordism theorem, SS 2011, Bonn, Th 14 (c.t.) - 17, every
two weeks, Lipschitz Saal
(with Steffen Sagave and Wolfgang Steimle)
·
Mapping
surgery to analysis, Münster, May 2010
(with Ján Špakula,
Philipp Kühl and Wolfgang
Steimle)
Conferences:
·
Oberwolfach
workshop Surgery theory: organized together with Diarmuid Crowley and Andrew Ranicki, 2012
·
Summer
school Topology of high-dimensional
manifolds: organized together with Diarmuid
Crowley and Wolfgang Lueck, 2014
Slides of talks:
·
Automorphisms
of manifolds and algebraic theory of surgery, NRW Topology Meeting, Düsseldorf,
24.11.2007, pdf
·
On
fake lens spaces, Oberseminar Topologie, Bonn, 6.11.2007, pdf
·
On
fake lens spaces, Oberseminar Topologie, Münster, 27.10.2008, pdf
·
The
total surgery obstruction III, Oberseminar Topologie, Münster, 22.06.2009,pdf
·
Algebraic
L-theory, GK summer school, THDM, Bonn, August 2013, L-Theory-I.pdf, L-Theory-II.pdf
Research interests:
·
automorphisms
of manifolds
·
surgery
theory
·
algebraic
K-theory
·
calculus
of functors
Links:
·
Web page of Andrew Ranicki (surgery theory)
·
Web page of Allen Hatcher (algebraic topology)
·
Fachbereich Mathematik Universität Münster
·
Dept of Maths, University of Aberdeen