A Lefschetz fixed point formula for symplectomorphisms

Consider a compact K\"ahler manifold endowed with a prequantum bundle. Following the geometric quantization scheme, the associated quantum spaces are the spaces of holomorphic sections of the tensor powers of the prequantum bundle. In this paper we construct an asymptotic representation of the prequantum bundle automorphism group in these quantum spaces. We estimate the characters of these representations under some transversality assumption. The formula obtained generalizes in some sense the Lefschetz fixed point formula for the automorphisms of the prequantum bundle preserving its holomorphic structure. Our results will be applied in two forthcoming papers to the quantum representation of the mapping class group.Comment: 23 page

Volume 51, Number 2

Volume 51, Number 2. 6 pages including covers and advertisements. Miller, Sam The American Inferno Magner, Tom Canonized McNiel, Paul Nightshade\u27s Obbligato Rybarski, Michael McNeil, Paul Stew Ellis, J. Patrick Egan, Gerard Today Is Rain McNeil, Neil C. hope & consolation 1971 McNeil, Paul Outer Flight O\u27Neil, Charles J. Jr. Freedom O\u27Neil, Charles J. Jr. More or Less O\u27Neil, Charles J. Jr. As a Seed O\u27Neil, Charles J. Jr. Confectioner O\u27Neil, Charles J. Jr. For Existential Mariners Egan, Gerard Thursday Night Bortolot, Gary Balder Osborne, J.C. The Death of the American Achilles Bortolot, Gary Childhood\u27s Dream Piergrossi, Joe Egan, Gerard Rover, Dominic, O.P. THREE POEMS Ellis, J. Patrick Peter and The Aberration Ellis, J. Patrick Media #7 Nadeau, Larry A GOOD PASTIME Ellis, J. Patrick Secondary Reader VOL. 5 Egan, Gerard Downtown Yet Not Spring Piergrossi, Joe I Knew A Little Midget Man Egan, Gerard Rhys, Skyles Red Worm Kilgallen, Michael Quarter Hour Valentine McNeil, Paul 1969 Political O\u27Neil, Charles J. Jr. To Go Piergrossi, Jo

Volume 51, Number 4 - April 1971

Volume 51, Number 4 - April 1971. 6 pages including covers and advertisements. Kilgallen, Mike Road O\u27Neil, Charles J., Jr. (for Jeffery) Simply No Honor Among Thieves Rybarski, Michael Beauty and La Bete Paul, Michael James The Wisdom Calling Kilgallen, Michael Auf dem Wasser zu singen Kilgallen, Michael My mistress Death Triquet, James VIII Lorca, Federico Garcia Selected Poems Rybarski, Michael Gunther, Paul The Echoes of Love Huzuinga, J.R. The Grateful Space City Awareness Award O\u27Neil, Charles J., Jr. The Rape of Mary Black Words Only Fit for a Napkin Rybarski, Michael Plaything of the Month Dostoevsky, Fyodor (The Brothers Karamazov) Love Historical Cemetery No. 2 (IN MEMORY OF MARGARET McNAMARA) (ERECTED BY MICHAEL IVERS) Rybarski, Michael A. O\u27Neil, Charles J., Jr. Nantucket Calm Films O\u27Neil, Charles J., Jr. Respite Finem Ball, Gary Supplication Slavin, Bob A Shadow\u27s Life Stripling, Thomas E. Triquet, James III koussa, r. Oval Oracles II est fine O\u27Neil, Charles J., Jr. Towards Apogee Gunther, Paul Point of Crisis Kilgallen, Michael My brother games with age O\u27Neil, Charles J., Jr. A Man Grow

Volume 51, Number 3 - March 1971

Volume 51, Number 3 - March 1971. 5 pages including covers and advertisements. Claude Gousie, Gene Addiction Paul, Michael The Dusty Road Kilgallen, Mike Ash Wednesday Rybarski, Michael A. Exercise No. 5: Paul Valery koussa, r. The Murmuring Undertones Pettit, Kevin From Under A Rock Hopefully Rybarski, Michael Material O\u27Neil, Charles J., Jr. William S. Hillman\u27s Fall Down (Simple Schizophrenia: a Socialization Phenomenon) Kilgallen, Mike The First Commandment Gousie, Gene McNeil, Paul St. Valentine, 1971 O\u27Neil, Charles J., Jr. Markings Arts Calendar Runaway Stripling, Thomas E. Bar O\u27Neil, Charles J., Jr. East to See Rhys, Skyles diabolos for h.w. Gousie, Gene Roach, David O\u27Neil, Charles J., Jr. Adagio con Gravit

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Royal Visit. The Vice President of Ecuador in the Galápagos. The Galápagos Marine Resources Reserve. The Charles Darwin Foundation Endowment Fund. Repatriation of Captive-bred Land Iguanas. The 1987 Flamingo Census. Experimental Plantations to Provide Building Timber. Visitors and Events at the Charles Darwin Research Station