D. Kotschick

1.7k citations

61 papers · 747 indexed · h-index 15

Impact in

Geometry and Topology top 0.5%
- Geometric and Algebraic Topology
- Geometry and complex manifolds
- Algebraic Geometry and Number Theory
Mathematical Physics top 2%
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
- Advanced Operator Algebra Research

Papers in ⓘ

Geometry and Topology 55
- Geometric and Algebraic Topology 33
- Geometry and complex manifolds 29
- Algebraic Geometry and Number Theory 15
Mathematical Physics 31
- Homotopy and Cohomology in Algebraic Topology 23
- Advanced Algebra and Geometry 10
- Advanced Operator Algebra Research 6

Co-authors: Mikio Furuta (2 shared papers)Simon Donaldson (1 shared paper)John W. Morgan (2 shared papers)Jaume Amorós (1 shared paper)Kevin Corlette (1 shared paper)M. Burger (1 shared paper)Hidenori Endo (2 shared papers)Clifford Henry Taubes (1 shared paper)
Journals: Bulletin of the London Mathematical Society (6 papers)International Mathematics Research Notices (3 papers)Mathematical Proceedings of the Cambridge Philosophical Society (3 papers)Proceedings of the American Mathematical Society (3 papers)Mathematische Annalen (3 papers)
Partner nations: Germany Switzerland United States

In The Last Decade

D. Kotschick

58 papers receiving 649 citations

Peers

Countries citing papers authored by D. Kotschick

Since Specialization

Citations

This map shows the geographic impact of D. Kotschick's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by D. Kotschick with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites D. Kotschick more than expected).

Fields of papers citing papers by D. Kotschick

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. Kotschick. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by D. Kotschick. The network helps show where D. Kotschick may publish in the future.

Co-authors

The 24 scholars most cited alongside D. Kotschick, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with D. Kotschick Line = papers co-authored together D. Kotschick links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 61 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Floer Homology Groups in Yang-Mills Theory Cambridge University Press eBooks ·Simon Donaldson, Mikio Furuta, D. Kotschick	2002	107
2	Fundamental Groups of Compact Kähler Manifolds Mathematical surveys and monographs ·Jaume Amorós, M. Burger, Kevin Corlette, D. Kotschick, De Toledo	1996	85
3	So(3)-Invariants for 4-Manifolds with b ⁺ ₂ = 1 Proceedings of the London Mathematical Society ·D. Kotschick	1991	48
4	On manifolds homeomorphic to $$\mathbb{C}P^2 \# 8\overline {\mathbb{C}P} ^2 $$ Inventiones mathematicae ·D. Kotschick	1989	35
5	Four-manifolds without symplectic structures but with nontrivial Seiberg-Witten invariants Mathematical Research Letters ·D. Kotschick, John W. Morgan, Clifford Henry Taubes	1995	34
6	Bounded cohomology and non-uniform perfection of mapping class groups Inventiones mathematicae ·Hidenori Endo, D. Kotschick	2001	26
7	Topology, Geometry and Field Theory Kenji Fukaya, Mikio Furuta, T. Kohno, D. Kotschick	1994	24
8	Orientations and Geometrisations of Compact Complex Surfaces Bulletin of the London Mathematical Society ·D. Kotschick	1997	22
9	Signatures, monopoles and mapping class groups Mathematical Research Letters ·D. Kotschick	1998	21
10	${\rm SO}(3)$-invariants for 4-manifolds with $b\sp +\sb 2=1$. II Journal of Differential Geometry ·D. Kotschick, John W. Morgan	1994	21
11	Groups of Diffeomorphisms Robert Penner, D. Kotschick, Takashi Tsuboi, Nariya Kawazumi, Teruaki Kitan, Yoshihiko Mitsumatsu	2008	20
12	The Seiberg-Witten invariants of symplectic four-manifolds French digital mathematics library (Numdam) ·D. Kotschick	1996	17
13	Remarks on geometric structures on compact complex surfaces Topology ·D. Kotschick	1992	17
14	The geometry of symplectic pairs Transactions of the American Mathematical Society ·Gianluca Bande, D. Kotschick	2005	15
15	The deformation theory of anti-self-dual conformal structures Mathematische Annalen ·Alastair King, D. Kotschick	1992	15
16	Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality Transactions of the American Mathematical Society ·V. Braungardt, D. Kotschick	2003	14
17	Minimality and irreducibility of symplectic four-manifolds International Mathematics Research Notices ·M. J. D. Hamilton, D. Kotschick	2006	13
18	On three-manifolds dominated by circle bundles Mathematische Zeitschrift ·D. Kotschick, Christoforos Neofytidis	2012	13
19	The Geometry of Recursion Operators Communications in Mathematical Physics ·Gianluca Bande, D. Kotschick	2008	11
20	On the signature and Euler characteristic of certain four-manifolds Mathematical Proceedings of the Cambridge Philosophical Society ·F. E. A. Johnson, D. Kotschick	1993	10

About D. Kotschick

D. Kotschick is a scholar working on Geometry and Topology, Mathematical Physics, Applied Mathematics, Discrete Mathematics and Combinatorics and Algebra and Number Theory, having authored 61 papers that have together received 747 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (33 papers), Geometry and complex manifolds (29 papers), Homotopy and Cohomology in Algebraic Topology (23 papers), Geometric Analysis and Curvature Flows (19 papers), Algebraic Geometry and Number Theory (15 papers), Advanced Algebra and Geometry (10 papers), Advanced Operator Algebra Research (6 papers) and Advanced Combinatorial Mathematics (5 papers). The work is most often cited by research in Geometry and Topology (689 citations), Mathematical Physics (486 citations), Applied Mathematics (188 citations), Discrete Mathematics and Combinatorics (57 citations) and Algebra and Number Theory (25 citations). D. Kotschick has collaborated with scholars based in Germany, Switzerland and United States. Frequent co-authors include Mikio Furuta, Simon Donaldson, John W. Morgan, Jaume Amorós, Kevin Corlette, M. Burger, Hidenori Endo, Clifford Henry Taubes, Alastair King and Kenji Fukaya. Their work appears in journals such as Bulletin of the London Mathematical Society, International Mathematics Research Notices, Mathematical Proceedings of the Cambridge Philosophical Society, Proceedings of the American Mathematical Society and Mathematische Annalen.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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