{"id":16,"date":"2015-11-03T12:28:21","date_gmt":"2015-11-03T11:28:21","guid":{"rendered":"https:\/\/kpa.faculty.wmi.amu.edu.pl\/?page_id=16"},"modified":"2023-05-13T17:49:20","modified_gmt":"2023-05-13T15:49:20","slug":"research","status":"publish","type":"page","link":"https:\/\/kpa.faculty.wmi.amu.edu.pl\/?page_id=16","title":{"rendered":"Research"},"content":{"rendered":"\n
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My research concerns compact Lie group actions on smooth manifolds and CW complexes. The methods and tools which I use to solve problems go back to algebraic and geometric topology, including topics from the cohomology theory of manifolds (e.g., Smith Theory), the theory of vector bundles and topological\u00a0K<\/em>-theory, differential topology (e.g., equivariant thickening and surgery on manifolds) and the theory of groups and their representations.<\/p>\n\n\n\n

Selected research papers<\/strong><\/p>\n\n\n\n[1] Krzysztof M. Pawa\u0142owski, Group actions with inequivalent representations at fixed points<\/em>, Math. Zeitschrift, Vol. 187 (1984), 29-47.<\/p>\n\n\n\n[2] Krzysztof M. Pawa\u0142owski, Fixed point sets of smooth group actions on disks and Euclidean spaces<\/em>, Topology, Vol. 28 (1989), 273-289. Corrections: ibid.~35 (1996), 749-750.<\/p>\n\n\n\n[3] Erkki Laitinen, Masaharu Morimoto, Krzysztof M. Pawa\u0142owski, Deleting\u2013Inserting Theorem for smooth actions of finite nonsolvable groups on spheres<\/em>, Commentarii Mathematici Helvetici, Vol. 70 (1995), 10-38.<\/p>\n\n\n\n[4] Krzysztof M. Pawa\u0142owski, Chern and Pontrjagin numbers in perfect symmetries of spheres,K<\/em>-theory, Vol. 13 (1998), 41-55.<\/p>\n\n\n\n[5] Masaharu Morimoto, Krzysztof M. Pawa\u0142owski, Equivariant wedge sum construction of finite contractible G-CW complexes with G-vector bundles<\/em>, Osaka Journal of Mathematics, Vol. 36 (1999), 767-781.<\/p>\n\n\n\n[6] Masaharu Morimoto, Krzysztof M. Pawa\u0142owski, The Equivariant Bundle Subtraction Theorem and its applications<\/em>, Fundamenta Mathematicae, Vol. 161 (1999), 279-303.<\/p>\n\n\n\n[7] Erkki Laitinen, Krzysztof M. Pawa\u0142owski, Smith equivalence of representations for finite perfect groups<\/em>, Proceedings of the American Mathematical Society, Vol. 127 (1999), 297-307.<\/p>\n\n\n\n[8] Krzysztof M. Pawa\u0142owski, Manifolds as fixed point sets of smooth compact Lie group actions<\/em>, Current Trends in Transformation Groups, A. Bak, M. Morimoto, F. Ushitaki (eds), K<\/em>-Monographs in Mathematics 7, Kluwer Academic Publishers (2002), 79-104.<\/p>\n\n\n\n[9] Krzysztof M. Pawa\u0142owski, Ronald Solomon, Smith equivalence and finite Oliver groups with Laitinen number 0 or 1<\/em>, Algebraic & Geometric Topology, Vol. 2 (2002), 843-895.<\/p>\n\n\n\n[10] Masaharu Morimoto, Krzysztof M. Pawa\u0142owski, Smooth actions of finite Oliver groups on spheres<\/em>, Topology, Vol. 42 (2003), 395-421.<\/p>\n\n\n\n[11] Krzysztof M. Pawa\u0142owski, Smooth circle actions on highly symmetric manifolds<\/em>, Mathematische Annalen, Vol. 341 (2008), 845-858.<\/p>\n\n\n\n[12] Bogus\u0142aw Hajduk, Krzysztof M. Pawa\u0142owski, Aleksy Tralle, Non-symplectic smooth circle actions on symplectic manifolds<\/em>, Mathematica Slovaca, Vol. 62 (2012), 539-550.<\/p>\n\n\n\n[13] Krzysztof M. Pawa\u0142owski, Toshio Sumi, The Laitinen Conjecture for finite non-solvable groups<\/em>, Proceedings of the Edinburgh Mathematical Society, Vol. 56 (2013), 303\u2013336.<\/p>\n\n\n\n[14] Marek Kaluba, Krzysztof M. Pawa\u0142owski, Group actions on complex projective spaces via group actions on disks and spheres<\/em>, The Topology and the Algebraic Structures of Transformation Groups, RIMS K\u00f4ky\u00fbroku, Vol. 1922 (2014), 147-153.<\/p>\n\n\n\n[15] Krzysztof M. Pawa\u0142owski, The Smith Equivalence Problem and the Laitinen Conjecture<\/em>, Handbook of Group Actions, Vol. III, Advanced Lectures in Mathematics, Vol. 40, International Press of Boston (2018), pp. 485-538.<\/p>\n\n\n\n[16] Krzysztof M. Pawa\u0142owski, Jan Pulikowski, Smooth actions of p-toral groups on Z-acyclic manifolds<\/em>, Proceedings of the Steklov Institute of Mathematics, Vol. 305 (2019), pp. 262-269.<\/p>\n<\/div><\/div>\n\n\n\n

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