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@article{FPM_2016_21_6_a9, author = {S. Terzi\'c}, title = {The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a~four-manifold}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {205--215}, publisher = {mathdoc}, volume = {21}, number = {6}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a9/} }
TY - JOUR AU - S. Terzić TI - The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a~four-manifold JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2016 SP - 205 EP - 215 VL - 21 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a9/ LA - ru ID - FPM_2016_21_6_a9 ER -
%0 Journal Article %A S. Terzić %T The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a~four-manifold %J Fundamentalʹnaâ i prikladnaâ matematika %D 2016 %P 205-215 %V 21 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a9/ %G ru %F FPM_2016_21_6_a9
S. Terzić. The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a~four-manifold. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 6, pp. 205-215. http://geodesic.mathdoc.fr/item/FPM_2016_21_6_a9/
[1] Babenko I. K., “Ob analiticheskikh svoistvakh ryadov Puankare prostranstv petel”, Matem. zametki, 27:5 (1980), 751–765 | MR | Zbl
[2] Basu Sa., Basu So., Homotopy groups and periodic geodesics of closed $4$-manifolds, arXiv: 1303.3328 | MR
[3] Beben P., Theriault S., “The loop space homotopy type of simply-connected four-manifolds and their generalization”, Adv. Math., 262 (2014), 213–238 | DOI | MR | Zbl
[4] Donaldson S. K., Kronheimer P. B., The Geometry of Four-Manifolds, Oxford Univ. Press, Oxford, 1990 | MR | Zbl
[5] Duan H., Liang Ch., “Circle bundles over $4$-manifolds”, Arch. Math. (Basel), 85:3 (2005), 278–282 | DOI | MR | Zbl
[6] Félix Y., Halperin S., Thomas J.-C., Rational Homotopy Theory, Grad. Texts Math., 205, Springer, Berlin, 2001 | MR
[7] Mandelbaum R., “Four-dimensional topology: an introduction”, Bull. Am. Math. Soc., 2 (1980), 1–159 | DOI | MR | Zbl
[8] Milnor J., “On simply connected $4$-manifolds”, Symp. Int. de Topologia Algebraica (1958), 122–128 | MR | Zbl
[9] Milnor J., Moore J., “On the structure of Hopf algebras”, Ann. Math., 81 (1965), 211–264 | DOI | MR | Zbl
[10] Ohta H., “On the fundamental groups of moduli spaces of irreducible $\mathrm{SU}(2)$-connections over closed $4$-manifolds”, Proc. Japan Acad. Ser. A, 66:3 (1990), 89–92 | DOI | MR | Zbl
[11] Quillen D., “Rational homotopy theory”, Ann. Math., 90 (1969), 205–295 | DOI | MR | Zbl
[12] Singer I. M., “Some remarks on the Gribov ambiguity”, Commun. Math. Phys., 60 (1978), 7–12 | DOI | MR | Zbl
[13] Sullivan D., “Infinitesimal computations in topology”, Publ. Math. de l'IHÉS, 47, 1977, 269–331 | DOI | MR | Zbl
[14] Terzić S., “On rational homotopy of four-manifolds”, Contemporary Geometry and Related Topics, World Scientific, River Edge, 2004, 375–388 | DOI | MR | Zbl
[15] Terzić S., “The rational topology of gauge groups and of spaces of connections”, Compositio Math., 141:1 (2005), 262–270 | DOI | MR | Zbl
[16] Whitehead J. H. C., “On simply connected $4$-dimensional polyhedra”, Comm. Math. Helvet., 22 (1949), 49–92 | DOI | MR